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Finding the Fourth Proportional to 343,287.70, 514,931.55 and 156,663.70

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Solution

The fourth proportional to 343,287.70, 514,931.55 and 156,663.70 is: 234,995.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,287.70 : 514,931.55 = 156,663.70 : x
  2. Step 2: Convert to fraction form
    343,287.70/514,931.55 = 156,663.70/x
  3. Step 3: Cross multiply
    343,287.70x = 514,931.55 × 156,663.70
  4. Step 4: Simplify right side
    343,287.70x = 80,671,081,869.74
  5. Step 5: Solve for x
    x = 80,671,081,869.74/343,287.70
  6. Step 6: Final answer
    x = 234,995.55

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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.