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Finding the Fourth Proportional to 257,216.92, 354,974.10 and 144,038.68

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Solution

The fourth proportional to 257,216.92, 354,974.10 and 144,038.68 is: 198,781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,216.92 : 354,974.10 = 144,038.68 : x
  2. Step 2: Convert to fraction form
    257,216.92/354,974.10 = 144,038.68/x
  3. Step 3: Cross multiply
    257,216.92x = 354,974.10 × 144,038.68
  4. Step 4: Simplify right side
    257,216.92x = 51,130,000,798.19
  5. Step 5: Solve for x
    x = 51,130,000,798.19/257,216.92
  6. Step 6: Final answer
    x = 198,781.64

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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.