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Finding the Fourth Proportional to 654,057.76, 902,037.68 and 424,388.80

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Solution

The fourth proportional to 654,057.76, 902,037.68 and 424,388.80 is: 585,291.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,057.76 : 902,037.68 = 424,388.80 : x
  2. Step 2: Convert to fraction form
    654,057.76/902,037.68 = 424,388.80/x
  3. Step 3: Cross multiply
    654,057.76x = 902,037.68 × 424,388.80
  4. Step 4: Simplify right side
    654,057.76x = 382,814,688,569.98
  5. Step 5: Solve for x
    x = 382,814,688,569.98/654,057.76
  6. Step 6: Final answer
    x = 585,291.87

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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.