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Finding the Fourth Proportional to 424,120.80, 635,331.84 and 255,547.20

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Solution

The fourth proportional to 424,120.80, 635,331.84 and 255,547.20 is: 382,809.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,120.80 : 635,331.84 = 255,547.20 : x
  2. Step 2: Convert to fraction form
    424,120.80/635,331.84 = 255,547.20/x
  3. Step 3: Cross multiply
    424,120.80x = 635,331.84 × 255,547.20
  4. Step 4: Simplify right side
    424,120.80x = 162,357,272,782.85
  5. Step 5: Solve for x
    x = 162,357,272,782.85/424,120.80
  6. Step 6: Final answer
    x = 382,809.03

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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.