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Finding the Fourth Proportional to 1,263,578,978.46, 1,894,341,598.29 and 527,197,765.98

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Solution

The fourth proportional to 1,263,578,978.46, 1,894,341,598.29 and 527,197,765.98 is: 790,368,212.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,578,978.46 : 1,894,341,598.29 = 527,197,765.98 : x
  2. Step 2: Convert to fraction form
    1,263,578,978.46/1,894,341,598.29 = 527,197,765.98/x
  3. Step 3: Cross multiply
    1,263,578,978.46x = 1,894,341,598.29 × 527,197,765.98
  4. Step 4: Simplify right side
    1,263,578,978.46x = 998,692,658,621,470,592
  5. Step 5: Solve for x
    x = 998,692,658,621,470,592/1,263,578,978.46
  6. Step 6: Final answer
    x = 790,368,212.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.