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Finding the Fourth Proportional to 277,748.80, 416,947.20 and 144,779.20

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Solution

The fourth proportional to 277,748.80, 416,947.20 and 144,779.20 is: 217,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,748.80 : 416,947.20 = 144,779.20 : x
  2. Step 2: Convert to fraction form
    277,748.80/416,947.20 = 144,779.20/x
  3. Step 3: Cross multiply
    277,748.80x = 416,947.20 × 144,779.20
  4. Step 4: Simplify right side
    277,748.80x = 60,365,282,058.24
  5. Step 5: Solve for x
    x = 60,365,282,058.24/277,748.80
  6. Step 6: Final answer
    x = 217,337.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.