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Finding the Fourth Proportional to 282,460, 423,689.64 and 72,097.96

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Solution

The fourth proportional to 282,460, 423,689.64 and 72,097.96 is: 108,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,460 : 423,689.64 = 72,097.96 : x
  2. Step 2: Convert to fraction form
    282,460/423,689.64 = 72,097.96/x
  3. Step 3: Cross multiply
    282,460x = 423,689.64 × 72,097.96
  4. Step 4: Simplify right side
    282,460x = 30,547,158,717.13
  5. Step 5: Solve for x
    x = 30,547,158,717.13/282,460
  6. Step 6: Final answer
    x = 108,146.85

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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.