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Finding the Fourth Proportional to 503,210.40, 754,946.80 and 187,670

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Solution

The fourth proportional to 503,210.40, 754,946.80 and 187,670 is: 281,553.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,210.40 : 754,946.80 = 187,670 : x
  2. Step 2: Convert to fraction form
    503,210.40/754,946.80 = 187,670/x
  3. Step 3: Cross multiply
    503,210.40x = 754,946.80 × 187,670
  4. Step 4: Simplify right side
    503,210.40x = 141,680,865,956
  5. Step 5: Solve for x
    x = 141,680,865,956/503,210.40
  6. Step 6: Final answer
    x = 281,553.93

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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.