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Finding the Fourth Proportional to 985,729.08, 1,360,305.18 and 533,019

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Solution

The fourth proportional to 985,729.08, 1,360,305.18 and 533,019 is: 735,565.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,729.08 : 1,360,305.18 = 533,019 : x
  2. Step 2: Convert to fraction form
    985,729.08/1,360,305.18 = 533,019/x
  3. Step 3: Cross multiply
    985,729.08x = 1,360,305.18 × 533,019
  4. Step 4: Simplify right side
    985,729.08x = 725,068,506,738.42
  5. Step 5: Solve for x
    x = 725,068,506,738.42/985,729.08
  6. Step 6: Final answer
    x = 735,565.71

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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.