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Finding the Fourth Proportional to 659,133, 908,723.88 and 523,616.76

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Solution

The fourth proportional to 659,133, 908,723.88 and 523,616.76 is: 721,892.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,133 : 908,723.88 = 523,616.76 : x
  2. Step 2: Convert to fraction form
    659,133/908,723.88 = 523,616.76/x
  3. Step 3: Cross multiply
    659,133x = 908,723.88 × 523,616.76
  4. Step 4: Simplify right side
    659,133x = 475,823,053,780.23
  5. Step 5: Solve for x
    x = 475,823,053,780.23/659,133
  6. Step 6: Final answer
    x = 721,892.32

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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.