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Finding the Fourth Proportional to 317,604.16, 438,315 and 209,989.16

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Solution

The fourth proportional to 317,604.16, 438,315 and 209,989.16 is: 289,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,604.16 : 438,315 = 209,989.16 : x
  2. Step 2: Convert to fraction form
    317,604.16/438,315 = 209,989.16/x
  3. Step 3: Cross multiply
    317,604.16x = 438,315 × 209,989.16
  4. Step 4: Simplify right side
    317,604.16x = 92,041,398,665.40
  5. Step 5: Solve for x
    x = 92,041,398,665.40/317,604.16
  6. Step 6: Final answer
    x = 289,799.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.