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Finding the Fourth Proportional to 657,018.48, 984,149.19 and 417,008.91

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Solution

The fourth proportional to 657,018.48, 984,149.19 and 417,008.91 is: 624,638.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,018.48 : 984,149.19 = 417,008.91 : x
  2. Step 2: Convert to fraction form
    657,018.48/984,149.19 = 417,008.91/x
  3. Step 3: Cross multiply
    657,018.48x = 984,149.19 × 417,008.91
  4. Step 4: Simplify right side
    657,018.48x = 410,398,980,999.28
  5. Step 5: Solve for x
    x = 410,398,980,999.28/657,018.48
  6. Step 6: Final answer
    x = 624,638.41

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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.