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Finding the Fourth Proportional to 280,911.53, 387,562.96 and 159,967.06

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Solution

The fourth proportional to 280,911.53, 387,562.96 and 159,967.06 is: 220,700.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,911.53 : 387,562.96 = 159,967.06 : x
  2. Step 2: Convert to fraction form
    280,911.53/387,562.96 = 159,967.06/x
  3. Step 3: Cross multiply
    280,911.53x = 387,562.96 × 159,967.06
  4. Step 4: Simplify right side
    280,911.53x = 61,997,306,507.15
  5. Step 5: Solve for x
    x = 61,997,306,507.15/280,911.53
  6. Step 6: Final answer
    x = 220,700.47

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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.