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Finding the Fourth Proportional to 713,121.98, 984,116.14 and 390,825.14

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Solution

The fourth proportional to 713,121.98, 984,116.14 and 390,825.14 is: 539,342.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,121.98 : 984,116.14 = 390,825.14 : x
  2. Step 2: Convert to fraction form
    713,121.98/984,116.14 = 390,825.14/x
  3. Step 3: Cross multiply
    713,121.98x = 984,116.14 × 390,825.14
  4. Step 4: Simplify right side
    713,121.98x = 384,617,328,191.76
  5. Step 5: Solve for x
    x = 384,617,328,191.76/713,121.98
  6. Step 6: Final answer
    x = 539,342.97

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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.