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Finding the Fourth Proportional to 649,472.40, 895,691.04 and 407,777.28

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Solution

The fourth proportional to 649,472.40, 895,691.04 and 407,777.28 is: 562,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,472.40 : 895,691.04 = 407,777.28 : x
  2. Step 2: Convert to fraction form
    649,472.40/895,691.04 = 407,777.28/x
  3. Step 3: Cross multiply
    649,472.40x = 895,691.04 × 407,777.28
  4. Step 4: Simplify right side
    649,472.40x = 365,242,456,011.57
  5. Step 5: Solve for x
    x = 365,242,456,011.57/649,472.40
  6. Step 6: Final answer
    x = 562,367.94

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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.