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Finding the Fourth Proportional to 713,817.75, 985,069.92 and 391,530.50

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Solution

The fourth proportional to 713,817.75, 985,069.92 and 391,530.50 is: 540,312.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,817.75 : 985,069.92 = 391,530.50 : x
  2. Step 2: Convert to fraction form
    713,817.75/985,069.92 = 391,530.50/x
  3. Step 3: Cross multiply
    713,817.75x = 985,069.92 × 391,530.50
  4. Step 4: Simplify right side
    713,817.75x = 385,684,918,312.56
  5. Step 5: Solve for x
    x = 385,684,918,312.56/713,817.75
  6. Step 6: Final answer
    x = 540,312.87

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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.