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Finding the Fourth Proportional to 257,718.96, 355,669.92 and 144,549

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Solution

The fourth proportional to 257,718.96, 355,669.92 and 144,549 is: 199,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,718.96 : 355,669.92 = 144,549 : x
  2. Step 2: Convert to fraction form
    257,718.96/355,669.92 = 144,549/x
  3. Step 3: Cross multiply
    257,718.96x = 355,669.92 × 144,549
  4. Step 4: Simplify right side
    257,718.96x = 51,411,731,266.08
  5. Step 5: Solve for x
    x = 51,411,731,266.08/257,718.96
  6. Step 6: Final answer
    x = 199,487.58

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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.