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Finding the Fourth Proportional to 611,807.70, 917,711.55 and 442,971.30

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Solution

The fourth proportional to 611,807.70, 917,711.55 and 442,971.30 is: 664,456.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,807.70 : 917,711.55 = 442,971.30 : x
  2. Step 2: Convert to fraction form
    611,807.70/917,711.55 = 442,971.30/x
  3. Step 3: Cross multiply
    611,807.70x = 917,711.55 × 442,971.30
  4. Step 4: Simplify right side
    611,807.70x = 406,519,878,328.52
  5. Step 5: Solve for x
    x = 406,519,878,328.52/611,807.70
  6. Step 6: Final answer
    x = 664,456.95

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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.