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Finding the Fourth Proportional to 713,672.48, 984,879.12 and 391,412

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Solution

The fourth proportional to 713,672.48, 984,879.12 and 391,412 is: 540,154.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,672.48 : 984,879.12 = 391,412 : x
  2. Step 2: Convert to fraction form
    713,672.48/984,879.12 = 391,412/x
  3. Step 3: Cross multiply
    713,672.48x = 984,879.12 × 391,412
  4. Step 4: Simplify right side
    713,672.48x = 385,493,506,117.44
  5. Step 5: Solve for x
    x = 385,493,506,117.44/713,672.48
  6. Step 6: Final answer
    x = 540,154.65

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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.