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Finding the Fourth Proportional to 309,304.80, 463,730.16 and 98,821.44

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Solution

The fourth proportional to 309,304.80, 463,730.16 and 98,821.44 is: 148,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,304.80 : 463,730.16 = 98,821.44 : x
  2. Step 2: Convert to fraction form
    309,304.80/463,730.16 = 98,821.44/x
  3. Step 3: Cross multiply
    309,304.80x = 463,730.16 × 98,821.44
  4. Step 4: Simplify right side
    309,304.80x = 45,826,482,182.63
  5. Step 5: Solve for x
    x = 45,826,482,182.63/309,304.80
  6. Step 6: Final answer
    x = 148,159.62

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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.