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Finding the Fourth Proportional to 315,311.84, 472,954.56 and 146,774.24

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Solution

The fourth proportional to 315,311.84, 472,954.56 and 146,774.24 is: 220,155.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,311.84 : 472,954.56 = 146,774.24 : x
  2. Step 2: Convert to fraction form
    315,311.84/472,954.56 = 146,774.24/x
  3. Step 3: Cross multiply
    315,311.84x = 472,954.56 × 146,774.24
  4. Step 4: Simplify right side
    315,311.84x = 69,417,546,098.53
  5. Step 5: Solve for x
    x = 69,417,546,098.53/315,311.84
  6. Step 6: Final answer
    x = 220,155.22

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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.