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Finding the Fourth Proportional to 287,954.94, 431,968.86 and 98,451.66

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Solution

The fourth proportional to 287,954.94, 431,968.86 and 98,451.66 is: 147,689.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,954.94 : 431,968.86 = 98,451.66 : x
  2. Step 2: Convert to fraction form
    287,954.94/431,968.86 = 98,451.66/x
  3. Step 3: Cross multiply
    287,954.94x = 431,968.86 × 98,451.66
  4. Step 4: Simplify right side
    287,954.94x = 42,528,051,335.31
  5. Step 5: Solve for x
    x = 42,528,051,335.31/287,954.94
  6. Step 6: Final answer
    x = 147,689.95

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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.