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Finding the Fourth Proportional to 415,071.10, 622,606.65 and 310,095.10

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Solution

The fourth proportional to 415,071.10, 622,606.65 and 310,095.10 is: 465,142.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,071.10 : 622,606.65 = 310,095.10 : x
  2. Step 2: Convert to fraction form
    415,071.10/622,606.65 = 310,095.10/x
  3. Step 3: Cross multiply
    415,071.10x = 622,606.65 × 310,095.10
  4. Step 4: Simplify right side
    415,071.10x = 193,067,271,392.42
  5. Step 5: Solve for x
    x = 193,067,271,392.42/415,071.10
  6. Step 6: Final answer
    x = 465,142.65

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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.