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Finding the Fourth Proportional to 713,159.10, 984,014.11 and 422,642.61

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Solution

The fourth proportional to 713,159.10, 984,014.11 and 422,642.61 is: 583,160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,159.10 : 984,014.11 = 422,642.61 : x
  2. Step 2: Convert to fraction form
    713,159.10/984,014.11 = 422,642.61/x
  3. Step 3: Cross multiply
    713,159.10x = 984,014.11 × 422,642.61
  4. Step 4: Simplify right side
    713,159.10x = 415,886,291,727.23
  5. Step 5: Solve for x
    x = 415,886,291,727.23/713,159.10
  6. Step 6: Final answer
    x = 583,160.60

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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.