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Finding the Fourth Proportional to 713,702.20, 984,860 and 391,405.24

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Solution

The fourth proportional to 713,702.20, 984,860 and 391,405.24 is: 540,112.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,702.20 : 984,860 = 391,405.24 : x
  2. Step 2: Convert to fraction form
    713,702.20/984,860 = 391,405.24/x
  3. Step 3: Cross multiply
    713,702.20x = 984,860 × 391,405.24
  4. Step 4: Simplify right side
    713,702.20x = 385,479,364,666.40
  5. Step 5: Solve for x
    x = 385,479,364,666.40/713,702.20
  6. Step 6: Final answer
    x = 540,112.34

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Half scale
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1.5x scale

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.