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Finding the Fourth Proportional to 315,214.10, 472,821.15 and 157,466.90

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Solution

The fourth proportional to 315,214.10, 472,821.15 and 157,466.90 is: 236,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,214.10 : 472,821.15 = 157,466.90 : x
  2. Step 2: Convert to fraction form
    315,214.10/472,821.15 = 157,466.90/x
  3. Step 3: Cross multiply
    315,214.10x = 472,821.15 × 157,466.90
  4. Step 4: Simplify right side
    315,214.10x = 74,453,680,744.94
  5. Step 5: Solve for x
    x = 74,453,680,744.94/315,214.10
  6. Step 6: Final answer
    x = 236,200.35

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Similar ratio
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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.