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Finding the Fourth Proportional to 257,283, 355,050.54 and 144,108.18

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Solution

The fourth proportional to 257,283, 355,050.54 and 144,108.18 is: 198,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,283 : 355,050.54 = 144,108.18 : x
  2. Step 2: Convert to fraction form
    257,283/355,050.54 = 144,108.18/x
  3. Step 3: Cross multiply
    257,283x = 355,050.54 × 144,108.18
  4. Step 4: Simplify right side
    257,283x = 51,165,687,127.42
  5. Step 5: Solve for x
    x = 51,165,687,127.42/257,283
  6. Step 6: Final answer
    x = 198,869.29

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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.