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Finding the Fourth Proportional to 476,653.69, 717,557.45 and 434,231.76

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Solution

The fourth proportional to 476,653.69, 717,557.45 and 434,231.76 is: 653,695.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,653.69 : 717,557.45 = 434,231.76 : x
  2. Step 2: Convert to fraction form
    476,653.69/717,557.45 = 434,231.76/x
  3. Step 3: Cross multiply
    476,653.69x = 717,557.45 × 434,231.76
  4. Step 4: Simplify right side
    476,653.69x = 311,586,234,414.61
  5. Step 5: Solve for x
    x = 311,586,234,414.61/476,653.69
  6. Step 6: Final answer
    x = 653,695.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.