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Finding the Fourth Proportional to 315,647.40, 473,471.10 and 209,359.20

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Solution

The fourth proportional to 315,647.40, 473,471.10 and 209,359.20 is: 314,038.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,647.40 : 473,471.10 = 209,359.20 : x
  2. Step 2: Convert to fraction form
    315,647.40/473,471.10 = 209,359.20/x
  3. Step 3: Cross multiply
    315,647.40x = 473,471.10 × 209,359.20
  4. Step 4: Simplify right side
    315,647.40x = 99,125,530,719.12
  5. Step 5: Solve for x
    x = 99,125,530,719.12/315,647.40
  6. Step 6: Final answer
    x = 314,038.80

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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.