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Finding the Fourth Proportional to 287,891.10, 431,885.79 and 98,341.02

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Solution

The fourth proportional to 287,891.10, 431,885.79 and 98,341.02 is: 147,528.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,891.10 : 431,885.79 = 98,341.02 : x
  2. Step 2: Convert to fraction form
    287,891.10/431,885.79 = 98,341.02/x
  3. Step 3: Cross multiply
    287,891.10x = 431,885.79 × 98,341.02
  4. Step 4: Simplify right side
    287,891.10x = 42,472,089,112.11
  5. Step 5: Solve for x
    x = 42,472,089,112.11/287,891.10
  6. Step 6: Final answer
    x = 147,528.32

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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.