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Finding the Fourth Proportional to 430,818.75, 646,228.13 and 115,267.46

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Solution

The fourth proportional to 430,818.75, 646,228.13 and 115,267.46 is: 172,901.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,818.75 : 646,228.13 = 115,267.46 : x
  2. Step 2: Convert to fraction form
    430,818.75/646,228.13 = 115,267.46/x
  3. Step 3: Cross multiply
    430,818.75x = 646,228.13 × 115,267.46
  4. Step 4: Simplify right side
    430,818.75x = 74,489,071,318.17
  5. Step 5: Solve for x
    x = 74,489,071,318.17/430,818.75
  6. Step 6: Final answer
    x = 172,901.18

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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.