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Finding the Fourth Proportional to 257,898.47, 355,900.10 and 144,721.22

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Solution

The fourth proportional to 257,898.47, 355,900.10 and 144,721.22 is: 199,715.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,898.47 : 355,900.10 = 144,721.22 : x
  2. Step 2: Convert to fraction form
    257,898.47/355,900.10 = 144,721.22/x
  3. Step 3: Cross multiply
    257,898.47x = 355,900.10 × 144,721.22
  4. Step 4: Simplify right side
    257,898.47x = 51,506,294,167.02
  5. Step 5: Solve for x
    x = 51,506,294,167.02/257,898.47
  6. Step 6: Final answer
    x = 199,715.40

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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.