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Finding the Fourth Proportional to 713,301.59, 984,670.32 and 499,281.77

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Solution

The fourth proportional to 713,301.59, 984,670.32 and 499,281.77 is: 689,228.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,301.59 : 984,670.32 = 499,281.77 : x
  2. Step 2: Convert to fraction form
    713,301.59/984,670.32 = 499,281.77/x
  3. Step 3: Cross multiply
    713,301.59x = 984,670.32 × 499,281.77
  4. Step 4: Simplify right side
    713,301.59x = 491,627,944,570.05
  5. Step 5: Solve for x
    x = 491,627,944,570.05/713,301.59
  6. Step 6: Final answer
    x = 689,228.72

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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.