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Finding the Fourth Proportional to 370,333.86, 511,071.22 and 209,195.70

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Solution

The fourth proportional to 370,333.86, 511,071.22 and 209,195.70 is: 288,695.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,333.86 : 511,071.22 = 209,195.70 : x
  2. Step 2: Convert to fraction form
    370,333.86/511,071.22 = 209,195.70/x
  3. Step 3: Cross multiply
    370,333.86x = 511,071.22 × 209,195.70
  4. Step 4: Simplify right side
    370,333.86x = 106,913,901,617.75
  5. Step 5: Solve for x
    x = 106,913,901,617.75/370,333.86
  6. Step 6: Final answer
    x = 288,695.99

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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.