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Finding the Fourth Proportional to 400,416, 552,572.60 and 216,654.01

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Solution

The fourth proportional to 400,416, 552,572.60 and 216,654.01 is: 298,981.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,416 : 552,572.60 = 216,654.01 : x
  2. Step 2: Convert to fraction form
    400,416/552,572.60 = 216,654.01/x
  3. Step 3: Cross multiply
    400,416x = 552,572.60 × 216,654.01
  4. Step 4: Simplify right side
    400,416x = 119,717,069,606.13
  5. Step 5: Solve for x
    x = 119,717,069,606.13/400,416
  6. Step 6: Final answer
    x = 298,981.73

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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.