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Finding the Fourth Proportional to 261,462.15, 392,322.42 and 154,841.81

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Solution

The fourth proportional to 261,462.15, 392,322.42 and 154,841.81 is: 232,339.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,462.15 : 392,322.42 = 154,841.81 : x
  2. Step 2: Convert to fraction form
    261,462.15/392,322.42 = 154,841.81/x
  3. Step 3: Cross multiply
    261,462.15x = 392,322.42 × 154,841.81
  4. Step 4: Simplify right side
    261,462.15x = 60,747,911,654.77
  5. Step 5: Solve for x
    x = 60,747,911,654.77/261,462.15
  6. Step 6: Final answer
    x = 232,339.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.