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Finding the Fourth Proportional to 649,412.80, 895,609.36 and 407,717.92

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Solution

The fourth proportional to 649,412.80, 895,609.36 and 407,717.92 is: 562,286.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,412.80 : 895,609.36 = 407,717.92 : x
  2. Step 2: Convert to fraction form
    649,412.80/895,609.36 = 407,717.92/x
  3. Step 3: Cross multiply
    649,412.80x = 895,609.36 × 407,717.92
  4. Step 4: Simplify right side
    649,412.80x = 365,155,985,391.73
  5. Step 5: Solve for x
    x = 365,155,985,391.73/649,412.80
  6. Step 6: Final answer
    x = 562,286.40

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Double scale
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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.