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Finding the Fourth Proportional to 255,892.69, 353,017.80 and 148,400.42

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Solution

The fourth proportional to 255,892.69, 353,017.80 and 148,400.42 is: 204,726.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,892.69 : 353,017.80 = 148,400.42 : x
  2. Step 2: Convert to fraction form
    255,892.69/353,017.80 = 148,400.42/x
  3. Step 3: Cross multiply
    255,892.69x = 353,017.80 × 148,400.42
  4. Step 4: Simplify right side
    255,892.69x = 52,387,990,670.02
  5. Step 5: Solve for x
    x = 52,387,990,670.02/255,892.69
  6. Step 6: Final answer
    x = 204,726.41

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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.