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Finding the Fourth Proportional to 862,349.74, 1,292,543.71 and 524,646

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Solution

The fourth proportional to 862,349.74, 1,292,543.71 and 524,646 is: 786,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,349.74 : 1,292,543.71 = 524,646 : x
  2. Step 2: Convert to fraction form
    862,349.74/1,292,543.71 = 524,646/x
  3. Step 3: Cross multiply
    862,349.74x = 1,292,543.71 × 524,646
  4. Step 4: Simplify right side
    862,349.74x = 678,127,885,965.05
  5. Step 5: Solve for x
    x = 678,127,885,965.05/862,349.74
  6. Step 6: Final answer
    x = 786,372.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.