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Finding the Fourth Proportional to 610,988.48, 843,141.76 and 339,068.24

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Solution

The fourth proportional to 610,988.48, 843,141.76 and 339,068.24 is: 467,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,988.48 : 843,141.76 = 339,068.24 : x
  2. Step 2: Convert to fraction form
    610,988.48/843,141.76 = 339,068.24/x
  3. Step 3: Cross multiply
    610,988.48x = 843,141.76 × 339,068.24
  4. Step 4: Simplify right side
    610,988.48x = 285,882,592,633.70
  5. Step 5: Solve for x
    x = 285,882,592,633.70/610,988.48
  6. Step 6: Final answer
    x = 467,901.77

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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.