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Finding the Fourth Proportional to 286,689.29, 430,035.30 and 87,011.40

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Solution

The fourth proportional to 286,689.29, 430,035.30 and 87,011.40 is: 130,517.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,689.29 : 430,035.30 = 87,011.40 : x
  2. Step 2: Convert to fraction form
    286,689.29/430,035.30 = 87,011.40/x
  3. Step 3: Cross multiply
    286,689.29x = 430,035.30 × 87,011.40
  4. Step 4: Simplify right side
    286,689.29x = 37,417,974,755.03
  5. Step 5: Solve for x
    x = 37,417,974,755.03/286,689.29
  6. Step 6: Final answer
    x = 130,517.52

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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.