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Finding the Fourth Proportional to 713,327.48, 984,462.35 and 407,449.61

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Solution

The fourth proportional to 713,327.48, 984,462.35 and 407,449.61 is: 562,320.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,327.48 : 984,462.35 = 407,449.61 : x
  2. Step 2: Convert to fraction form
    713,327.48/984,462.35 = 407,449.61/x
  3. Step 3: Cross multiply
    713,327.48x = 984,462.35 × 407,449.61
  4. Step 4: Simplify right side
    713,327.48x = 401,118,793,607.62
  5. Step 5: Solve for x
    x = 401,118,793,607.62/713,327.48
  6. Step 6: Final answer
    x = 562,320.68

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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.