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Finding the Fourth Proportional to 521,175, 781,765.74 and 147,201.24

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Solution

The fourth proportional to 521,175, 781,765.74 and 147,201.24 is: 220,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,175 : 781,765.74 = 147,201.24 : x
  2. Step 2: Convert to fraction form
    521,175/781,765.74 = 147,201.24/x
  3. Step 3: Cross multiply
    521,175x = 781,765.74 × 147,201.24
  4. Step 4: Simplify right side
    521,175x = 115,076,886,317.52
  5. Step 5: Solve for x
    x = 115,076,886,317.52/521,175
  6. Step 6: Final answer
    x = 220,802.78

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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.