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Finding the Fourth Proportional to 315,099.12, 472,646.24 and 78,440.24

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Solution

The fourth proportional to 315,099.12, 472,646.24 and 78,440.24 is: 117,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,099.12 : 472,646.24 = 78,440.24 : x
  2. Step 2: Convert to fraction form
    315,099.12/472,646.24 = 78,440.24/x
  3. Step 3: Cross multiply
    315,099.12x = 472,646.24 × 78,440.24
  4. Step 4: Simplify right side
    315,099.12x = 37,074,484,500.70
  5. Step 5: Solve for x
    x = 37,074,484,500.70/315,099.12
  6. Step 6: Final answer
    x = 117,659.75

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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.