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Finding the Fourth Proportional to 646,597.16, 892,373.86 and 356,238.40

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Solution

The fourth proportional to 646,597.16, 892,373.86 and 356,238.40 is: 491,647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,597.16 : 892,373.86 = 356,238.40 : x
  2. Step 2: Convert to fraction form
    646,597.16/892,373.86 = 356,238.40/x
  3. Step 3: Cross multiply
    646,597.16x = 892,373.86 × 356,238.40
  4. Step 4: Simplify right side
    646,597.16x = 317,897,834,472.91
  5. Step 5: Solve for x
    x = 317,897,834,472.91/646,597.16
  6. Step 6: Final answer
    x = 491,647.43

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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.