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Finding the Fourth Proportional to 515,950.76, 711,988.09 and 286,522.58

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Solution

The fourth proportional to 515,950.76, 711,988.09 and 286,522.58 is: 395,387.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,950.76 : 711,988.09 = 286,522.58 : x
  2. Step 2: Convert to fraction form
    515,950.76/711,988.09 = 286,522.58/x
  3. Step 3: Cross multiply
    515,950.76x = 711,988.09 × 286,522.58
  4. Step 4: Simplify right side
    515,950.76x = 204,000,665,539.74
  5. Step 5: Solve for x
    x = 204,000,665,539.74/515,950.76
  6. Step 6: Final answer
    x = 395,387.86

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1.5x scale

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.