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Finding the Fourth Proportional to 478,431,178, 660,235,493.82 and 258,414,604

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Solution

The fourth proportional to 478,431,178, 660,235,493.82 and 258,414,604 is: 356,612,406.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,431,178 : 660,235,493.82 = 258,414,604 : x
  2. Step 2: Convert to fraction form
    478,431,178/660,235,493.82 = 258,414,604/x
  3. Step 3: Cross multiply
    478,431,178x = 660,235,493.82 × 258,414,604
  4. Step 4: Simplify right side
    478,431,178x = 170,614,493,682,239,776
  5. Step 5: Solve for x
    x = 170,614,493,682,239,776/478,431,178
  6. Step 6: Final answer
    x = 356,612,406.40

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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.