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Finding the Fourth Proportional to 315,009.64, 472,450.02 and 90,309.88

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Solution

The fourth proportional to 315,009.64, 472,450.02 and 90,309.88 is: 135,446.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,009.64 : 472,450.02 = 90,309.88 : x
  2. Step 2: Convert to fraction form
    315,009.64/472,450.02 = 90,309.88/x
  3. Step 3: Cross multiply
    315,009.64x = 472,450.02 × 90,309.88
  4. Step 4: Simplify right side
    315,009.64x = 42,666,904,612.20
  5. Step 5: Solve for x
    x = 42,666,904,612.20/315,009.64
  6. Step 6: Final answer
    x = 135,446.35

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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.