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Finding the Fourth Proportional to 713,185.56, 984,509.64 and 499,165.74

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Solution

The fourth proportional to 713,185.56, 984,509.64 and 499,165.74 is: 689,068.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,185.56 : 984,509.64 = 499,165.74 : x
  2. Step 2: Convert to fraction form
    713,185.56/984,509.64 = 499,165.74/x
  3. Step 3: Cross multiply
    713,185.56x = 984,509.64 × 499,165.74
  4. Step 4: Simplify right side
    713,185.56x = 491,433,482,987.73
  5. Step 5: Solve for x
    x = 491,433,482,987.73/713,185.56
  6. Step 6: Final answer
    x = 689,068.19

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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.