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Finding the Fourth Proportional to 713,416.48, 984,488.61 and 391,119.50

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Solution

The fourth proportional to 713,416.48, 984,488.61 and 391,119.50 is: 539,730.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,416.48 : 984,488.61 = 391,119.50 : x
  2. Step 2: Convert to fraction form
    713,416.48/984,488.61 = 391,119.50/x
  3. Step 3: Cross multiply
    713,416.48x = 984,488.61 × 391,119.50
  4. Step 4: Simplify right side
    713,416.48x = 385,052,696,826.82
  5. Step 5: Solve for x
    x = 385,052,696,826.82/713,416.48
  6. Step 6: Final answer
    x = 539,730.59

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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.