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Finding the Fourth Proportional to 647,856.90, 894,036.42 and 357,471.09

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Solution

The fourth proportional to 647,856.90, 894,036.42 and 357,471.09 is: 493,306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,856.90 : 894,036.42 = 357,471.09 : x
  2. Step 2: Convert to fraction form
    647,856.90/894,036.42 = 357,471.09/x
  3. Step 3: Cross multiply
    647,856.90x = 894,036.42 × 357,471.09
  4. Step 4: Simplify right side
    647,856.90x = 319,592,173,557.10
  5. Step 5: Solve for x
    x = 319,592,173,557.10/647,856.90
  6. Step 6: Final answer
    x = 493,306.74

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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.