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Finding the Fourth Proportional to 610,702.57, 916,116.72 and 211,342.70

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Solution

The fourth proportional to 610,702.57, 916,116.72 and 211,342.70 is: 317,035.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,702.57 : 916,116.72 = 211,342.70 : x
  2. Step 2: Convert to fraction form
    610,702.57/916,116.72 = 211,342.70/x
  3. Step 3: Cross multiply
    610,702.57x = 916,116.72 × 211,342.70
  4. Step 4: Simplify right side
    610,702.57x = 193,614,581,119.94
  5. Step 5: Solve for x
    x = 193,614,581,119.94/610,702.57
  6. Step 6: Final answer
    x = 317,035.81

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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.