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Finding the Fourth Proportional to 499,965.64, 689,952.12 and 282,220.16

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Solution

The fourth proportional to 499,965.64, 689,952.12 and 282,220.16 is: 389,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,965.64 : 689,952.12 = 282,220.16 : x
  2. Step 2: Convert to fraction form
    499,965.64/689,952.12 = 282,220.16/x
  3. Step 3: Cross multiply
    499,965.64x = 689,952.12 × 282,220.16
  4. Step 4: Simplify right side
    499,965.64x = 194,718,397,698.74
  5. Step 5: Solve for x
    x = 194,718,397,698.74/499,965.64
  6. Step 6: Final answer
    x = 389,463.56

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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.