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Finding the Fourth Proportional to 370,654.98, 511,512.74 and 209,510.68

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Solution

The fourth proportional to 370,654.98, 511,512.74 and 209,510.68 is: 289,129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,654.98 : 511,512.74 = 209,510.68 : x
  2. Step 2: Convert to fraction form
    370,654.98/511,512.74 = 209,510.68/x
  3. Step 3: Cross multiply
    370,654.98x = 511,512.74 × 209,510.68
  4. Step 4: Simplify right side
    370,654.98x = 107,167,378,380.95
  5. Step 5: Solve for x
    x = 107,167,378,380.95/370,654.98
  6. Step 6: Final answer
    x = 289,129.74

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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.