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Finding the Fourth Proportional to 370,518.95, 511,248.86 and 207,178.40

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Solution

The fourth proportional to 370,518.95, 511,248.86 and 207,178.40 is: 285,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,518.95 : 511,248.86 = 207,178.40 : x
  2. Step 2: Convert to fraction form
    370,518.95/511,248.86 = 207,178.40/x
  3. Step 3: Cross multiply
    370,518.95x = 511,248.86 × 207,178.40
  4. Step 4: Simplify right side
    370,518.95x = 105,919,717,224.49
  5. Step 5: Solve for x
    x = 105,919,717,224.49/370,518.95
  6. Step 6: Final answer
    x = 285,868.56

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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.