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Finding the Fourth Proportional to 580,099.84, 870,114.66 and 344,939.02

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Solution

The fourth proportional to 580,099.84, 870,114.66 and 344,939.02 is: 517,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,099.84 : 870,114.66 = 344,939.02 : x
  2. Step 2: Convert to fraction form
    580,099.84/870,114.66 = 344,939.02/x
  3. Step 3: Cross multiply
    580,099.84x = 870,114.66 × 344,939.02
  4. Step 4: Simplify right side
    580,099.84x = 300,136,498,108.03
  5. Step 5: Solve for x
    x = 300,136,498,108.03/580,099.84
  6. Step 6: Final answer
    x = 517,387.66

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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.