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Finding the Fourth Proportional to 280,877.04, 387,616.32 and 153,564.48

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Solution

The fourth proportional to 280,877.04, 387,616.32 and 153,564.48 is: 211,922.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,877.04 : 387,616.32 = 153,564.48 : x
  2. Step 2: Convert to fraction form
    280,877.04/387,616.32 = 153,564.48/x
  3. Step 3: Cross multiply
    280,877.04x = 387,616.32 × 153,564.48
  4. Step 4: Simplify right side
    280,877.04x = 59,524,098,620.31
  5. Step 5: Solve for x
    x = 59,524,098,620.31/280,877.04
  6. Step 6: Final answer
    x = 211,922.27

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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.