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Finding the Fourth Proportional to 314,258.90, 471,432.62 and 100,955.28

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Solution

The fourth proportional to 314,258.90, 471,432.62 and 100,955.28 is: 151,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,258.90 : 471,432.62 = 100,955.28 : x
  2. Step 2: Convert to fraction form
    314,258.90/471,432.62 = 100,955.28/x
  3. Step 3: Cross multiply
    314,258.90x = 471,432.62 × 100,955.28
  4. Step 4: Simplify right side
    314,258.90x = 47,593,611,648.46
  5. Step 5: Solve for x
    x = 47,593,611,648.46/314,258.90
  6. Step 6: Final answer
    x = 151,447.14

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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.