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Finding the Fourth Proportional to 287,894.04, 431,891.87 and 98,309.98

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Solution

The fourth proportional to 287,894.04, 431,891.87 and 98,309.98 is: 147,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,894.04 : 431,891.87 = 98,309.98 : x
  2. Step 2: Convert to fraction form
    287,894.04/431,891.87 = 98,309.98/x
  3. Step 3: Cross multiply
    287,894.04x = 431,891.87 × 98,309.98
  4. Step 4: Simplify right side
    287,894.04x = 42,459,281,101.86
  5. Step 5: Solve for x
    x = 42,459,281,101.86/287,894.04
  6. Step 6: Final answer
    x = 147,482.32

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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.