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Finding the Fourth Proportional to 563,400.78, 777,499.20 and 308,746.50

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Solution

The fourth proportional to 563,400.78, 777,499.20 and 308,746.50 is: 426,073.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,400.78 : 777,499.20 = 308,746.50 : x
  2. Step 2: Convert to fraction form
    563,400.78/777,499.20 = 308,746.50/x
  3. Step 3: Cross multiply
    563,400.78x = 777,499.20 × 308,746.50
  4. Step 4: Simplify right side
    563,400.78x = 240,050,156,752.80
  5. Step 5: Solve for x
    x = 240,050,156,752.80/563,400.78
  6. Step 6: Final answer
    x = 426,073.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.