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Finding the Fourth Proportional to 280,494.72, 387,080.16 and 153,169.92

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Solution

The fourth proportional to 280,494.72, 387,080.16 and 153,169.92 is: 211,373.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,494.72 : 387,080.16 = 153,169.92 : x
  2. Step 2: Convert to fraction form
    280,494.72/387,080.16 = 153,169.92/x
  3. Step 3: Cross multiply
    280,494.72x = 387,080.16 × 153,169.92
  4. Step 4: Simplify right side
    280,494.72x = 59,289,037,140.79
  5. Step 5: Solve for x
    x = 59,289,037,140.79/280,494.72
  6. Step 6: Final answer
    x = 211,373.10

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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.