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Finding the Fourth Proportional to 257,224.92, 354,985.14 and 144,046.68

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Solution

The fourth proportional to 257,224.92, 354,985.14 and 144,046.68 is: 198,792.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,224.92 : 354,985.14 = 144,046.68 : x
  2. Step 2: Convert to fraction form
    257,224.92/354,985.14 = 144,046.68/x
  3. Step 3: Cross multiply
    257,224.92x = 354,985.14 × 144,046.68
  4. Step 4: Simplify right side
    257,224.92x = 51,134,430,866.34
  5. Step 5: Solve for x
    x = 51,134,430,866.34/257,224.92
  6. Step 6: Final answer
    x = 198,792.68

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1.5x scale

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.