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Finding the Fourth Proportional to 370,677, 511,542.12 and 209,522.40

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Solution

The fourth proportional to 370,677, 511,542.12 and 209,522.40 is: 289,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,677 : 511,542.12 = 209,522.40 : x
  2. Step 2: Convert to fraction form
    370,677/511,542.12 = 209,522.40/x
  3. Step 3: Cross multiply
    370,677x = 511,542.12 × 209,522.40
  4. Step 4: Simplify right side
    370,677x = 107,179,532,683.49
  5. Step 5: Solve for x
    x = 107,179,532,683.49/370,677
  6. Step 6: Final answer
    x = 289,145.35

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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.