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Finding the Fourth Proportional to 468,042, 645,635.52 and 286,841.76

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Solution

The fourth proportional to 468,042, 645,635.52 and 286,841.76 is: 395,680.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,042 : 645,635.52 = 286,841.76 : x
  2. Step 2: Convert to fraction form
    468,042/645,635.52 = 286,841.76/x
  3. Step 3: Cross multiply
    468,042x = 645,635.52 × 286,841.76
  4. Step 4: Simplify right side
    468,042x = 185,195,228,875.32
  5. Step 5: Solve for x
    x = 185,195,228,875.32/468,042
  6. Step 6: Final answer
    x = 395,680.79

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1.5x scale

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.