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Finding the Fourth Proportional to 315,652.40, 473,478.60 and 209,364.20

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Solution

The fourth proportional to 315,652.40, 473,478.60 and 209,364.20 is: 314,046.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,652.40 : 473,478.60 = 209,364.20 : x
  2. Step 2: Convert to fraction form
    315,652.40/473,478.60 = 209,364.20/x
  3. Step 3: Cross multiply
    315,652.40x = 473,478.60 × 209,364.20
  4. Step 4: Simplify right side
    315,652.40x = 99,129,468,306.12
  5. Step 5: Solve for x
    x = 99,129,468,306.12/315,652.40
  6. Step 6: Final answer
    x = 314,046.30

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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.