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Finding the Fourth Proportional to 1,154,480.95, 1,729,828.31 and 815,867.74

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Solution

The fourth proportional to 1,154,480.95, 1,729,828.31 and 815,867.74 is: 1,222,463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154,480.95 : 1,729,828.31 = 815,867.74 : x
  2. Step 2: Convert to fraction form
    1,154,480.95/1,729,828.31 = 815,867.74/x
  3. Step 3: Cross multiply
    1,154,480.95x = 1,729,828.31 × 815,867.74
  4. Step 4: Simplify right side
    1,154,480.95x = 1,411,311,111,950.67
  5. Step 5: Solve for x
    x = 1,411,311,111,950.67/1,154,480.95
  6. Step 6: Final answer
    x = 1,222,463.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.