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Finding the Fourth Proportional to 315,027.90, 472,541.85 and 165,210.30

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Solution

The fourth proportional to 315,027.90, 472,541.85 and 165,210.30 is: 247,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,027.90 : 472,541.85 = 165,210.30 : x
  2. Step 2: Convert to fraction form
    315,027.90/472,541.85 = 165,210.30/x
  3. Step 3: Cross multiply
    315,027.90x = 472,541.85 × 165,210.30
  4. Step 4: Simplify right side
    315,027.90x = 78,068,780,801.06
  5. Step 5: Solve for x
    x = 78,068,780,801.06/315,027.90
  6. Step 6: Final answer
    x = 247,815.45

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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.