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Finding the Fourth Proportional to 729,072, 1,006,158.24 and 427,363.20

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Solution

The fourth proportional to 729,072, 1,006,158.24 and 427,363.20 is: 589,784.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,072 : 1,006,158.24 = 427,363.20 : x
  2. Step 2: Convert to fraction form
    729,072/1,006,158.24 = 427,363.20/x
  3. Step 3: Cross multiply
    729,072x = 1,006,158.24 × 427,363.20
  4. Step 4: Simplify right side
    729,072x = 429,995,005,152.77
  5. Step 5: Solve for x
    x = 429,995,005,152.77/729,072
  6. Step 6: Final answer
    x = 589,784.01

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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.