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Finding the Fourth Proportional to 370,643.85, 511,497.38 and 209,499.41

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Solution

The fourth proportional to 370,643.85, 511,497.38 and 209,499.41 is: 289,114.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,643.85 : 511,497.38 = 209,499.41 : x
  2. Step 2: Convert to fraction form
    370,643.85/511,497.38 = 209,499.41/x
  3. Step 3: Cross multiply
    370,643.85x = 511,497.38 × 209,499.41
  4. Step 4: Simplify right side
    370,643.85x = 107,158,401,129.04
  5. Step 5: Solve for x
    x = 107,158,401,129.04/370,643.85
  6. Step 6: Final answer
    x = 289,114.20

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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.