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Finding the Fourth Proportional to 345,116.70, 517,675.05 and 256,543.20

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Solution

The fourth proportional to 345,116.70, 517,675.05 and 256,543.20 is: 384,814.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,116.70 : 517,675.05 = 256,543.20 : x
  2. Step 2: Convert to fraction form
    345,116.70/517,675.05 = 256,543.20/x
  3. Step 3: Cross multiply
    345,116.70x = 517,675.05 × 256,543.20
  4. Step 4: Simplify right side
    345,116.70x = 132,806,013,887.16
  5. Step 5: Solve for x
    x = 132,806,013,887.16/345,116.70
  6. Step 6: Final answer
    x = 384,814.80

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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.