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Finding the Fourth Proportional to 521,174, 781,764.24 and 147,200.24

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Solution

The fourth proportional to 521,174, 781,764.24 and 147,200.24 is: 220,801.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,174 : 781,764.24 = 147,200.24 : x
  2. Step 2: Convert to fraction form
    521,174/781,764.24 = 147,200.24/x
  3. Step 3: Cross multiply
    521,174x = 781,764.24 × 147,200.24
  4. Step 4: Simplify right side
    521,174x = 115,075,883,751.42
  5. Step 5: Solve for x
    x = 115,075,883,751.42/521,174
  6. Step 6: Final answer
    x = 220,801.28

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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.