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Finding the Fourth Proportional to 315,647.80, 473,471.70 and 209,359.60

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Solution

The fourth proportional to 315,647.80, 473,471.70 and 209,359.60 is: 314,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,647.80 : 473,471.70 = 209,359.60 : x
  2. Step 2: Convert to fraction form
    315,647.80/473,471.70 = 209,359.60/x
  3. Step 3: Cross multiply
    315,647.80x = 473,471.70 × 209,359.60
  4. Step 4: Simplify right side
    315,647.80x = 99,125,845,723.32
  5. Step 5: Solve for x
    x = 99,125,845,723.32/315,647.80
  6. Step 6: Final answer
    x = 314,039.40

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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.