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Finding the Fourth Proportional to 510,652.71, 766,093.93 and 155,702.61

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Solution

The fourth proportional to 510,652.71, 766,093.93 and 155,702.61 is: 233,588.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,652.71 : 766,093.93 = 155,702.61 : x
  2. Step 2: Convert to fraction form
    510,652.71/766,093.93 = 155,702.61/x
  3. Step 3: Cross multiply
    510,652.71x = 766,093.93 × 155,702.61
  4. Step 4: Simplify right side
    510,652.71x = 119,282,824,016.90
  5. Step 5: Solve for x
    x = 119,282,824,016.90/510,652.71
  6. Step 6: Final answer
    x = 233,588.94

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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.