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Finding the Fourth Proportional to 420,326.88, 630,311.76 and 153,976.80

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Solution

The fourth proportional to 420,326.88, 630,311.76 and 153,976.80 is: 230,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,326.88 : 630,311.76 = 153,976.80 : x
  2. Step 2: Convert to fraction form
    420,326.88/630,311.76 = 153,976.80/x
  3. Step 3: Cross multiply
    420,326.88x = 630,311.76 × 153,976.80
  4. Step 4: Simplify right side
    420,326.88x = 97,053,387,807.17
  5. Step 5: Solve for x
    x = 97,053,387,807.17/420,326.88
  6. Step 6: Final answer
    x = 230,899.79

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1.5x scale

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.