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Finding the Fourth Proportional to 255,724.80, 383,587.20 and 162,643.20

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Solution

The fourth proportional to 255,724.80, 383,587.20 and 162,643.20 is: 243,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,724.80 : 383,587.20 = 162,643.20 : x
  2. Step 2: Convert to fraction form
    255,724.80/383,587.20 = 162,643.20/x
  3. Step 3: Cross multiply
    255,724.80x = 383,587.20 × 162,643.20
  4. Step 4: Simplify right side
    255,724.80x = 62,387,849,687.04
  5. Step 5: Solve for x
    x = 62,387,849,687.04/255,724.80
  6. Step 6: Final answer
    x = 243,964.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.