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Finding the Fourth Proportional to 280,761.29, 387,477.29 and 153,456.02

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Solution

The fourth proportional to 280,761.29, 387,477.29 and 153,456.02 is: 211,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,761.29 : 387,477.29 = 153,456.02 : x
  2. Step 2: Convert to fraction form
    280,761.29/387,477.29 = 153,456.02/x
  3. Step 3: Cross multiply
    280,761.29x = 387,477.29 × 153,456.02
  4. Step 4: Simplify right side
    280,761.29x = 59,460,720,059.12
  5. Step 5: Solve for x
    x = 59,460,720,059.12/280,761.29
  6. Step 6: Final answer
    x = 211,783.90

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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.