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Finding the Fourth Proportional to 315,646.80, 473,470.20 and 209,358.60

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Solution

The fourth proportional to 315,646.80, 473,470.20 and 209,358.60 is: 314,037.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,646.80 : 473,470.20 = 209,358.60 : x
  2. Step 2: Convert to fraction form
    315,646.80/473,470.20 = 209,358.60/x
  3. Step 3: Cross multiply
    315,646.80x = 473,470.20 × 209,358.60
  4. Step 4: Simplify right side
    315,646.80x = 99,125,058,213.72
  5. Step 5: Solve for x
    x = 99,125,058,213.72/315,646.80
  6. Step 6: Final answer
    x = 314,037.90

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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.