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Finding the Fourth Proportional to 664,416.54, 916,607.21 and 406,304.78

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Solution

The fourth proportional to 664,416.54, 916,607.21 and 406,304.78 is: 560,524.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,416.54 : 916,607.21 = 406,304.78 : x
  2. Step 2: Convert to fraction form
    664,416.54/916,607.21 = 406,304.78/x
  3. Step 3: Cross multiply
    664,416.54x = 916,607.21 × 406,304.78
  4. Step 4: Simplify right side
    664,416.54x = 372,421,884,190.90
  5. Step 5: Solve for x
    x = 372,421,884,190.90/664,416.54
  6. Step 6: Final answer
    x = 560,524.70

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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.