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Finding the Fourth Proportional to 309,616.90, 464,425.35 and 99,276.10

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Solution

The fourth proportional to 309,616.90, 464,425.35 and 99,276.10 is: 148,914.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,616.90 : 464,425.35 = 99,276.10 : x
  2. Step 2: Convert to fraction form
    309,616.90/464,425.35 = 99,276.10/x
  3. Step 3: Cross multiply
    309,616.90x = 464,425.35 × 99,276.10
  4. Step 4: Simplify right side
    309,616.90x = 46,106,337,489.14
  5. Step 5: Solve for x
    x = 46,106,337,489.14/309,616.90
  6. Step 6: Final answer
    x = 148,914.15

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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.