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Finding the Fourth Proportional to 659,471.76, 910,071 and 357,665.76

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Solution

The fourth proportional to 659,471.76, 910,071 and 357,665.76 is: 493,578.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,471.76 : 910,071 = 357,665.76 : x
  2. Step 2: Convert to fraction form
    659,471.76/910,071 = 357,665.76/x
  3. Step 3: Cross multiply
    659,471.76x = 910,071 × 357,665.76
  4. Step 4: Simplify right side
    659,471.76x = 325,501,235,868.96
  5. Step 5: Solve for x
    x = 325,501,235,868.96/659,471.76
  6. Step 6: Final answer
    x = 493,578.73

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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.