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Finding the Fourth Proportional to 664,728.40, 918,524.70 and 473,409.64

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Solution

The fourth proportional to 664,728.40, 918,524.70 and 473,409.64 is: 654,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,728.40 : 918,524.70 = 473,409.64 : x
  2. Step 2: Convert to fraction form
    664,728.40/918,524.70 = 473,409.64/x
  3. Step 3: Cross multiply
    664,728.40x = 918,524.70 × 473,409.64
  4. Step 4: Simplify right side
    664,728.40x = 434,838,447,558.11
  5. Step 5: Solve for x
    x = 434,838,447,558.11/664,728.40
  6. Step 6: Final answer
    x = 654,159.57

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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.