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Finding the Fourth Proportional to 442,800, 611,002.32 and 251,792.24

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Solution

The fourth proportional to 442,800, 611,002.32 and 251,792.24 is: 347,438.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,800 : 611,002.32 = 251,792.24 : x
  2. Step 2: Convert to fraction form
    442,800/611,002.32 = 251,792.24/x
  3. Step 3: Cross multiply
    442,800x = 611,002.32 × 251,792.24
  4. Step 4: Simplify right side
    442,800x = 153,845,642,798.00
  5. Step 5: Solve for x
    x = 153,845,642,798.00/442,800
  6. Step 6: Final answer
    x = 347,438.22

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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.