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Finding the Fourth Proportional to 310,595.79, 465,904.09 and 85,937.43

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Solution

The fourth proportional to 310,595.79, 465,904.09 and 85,937.43 is: 128,909.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,595.79 : 465,904.09 = 85,937.43 : x
  2. Step 2: Convert to fraction form
    310,595.79/465,904.09 = 85,937.43/x
  3. Step 3: Cross multiply
    310,595.79x = 465,904.09 × 85,937.43
  4. Step 4: Simplify right side
    310,595.79x = 40,038,600,121.09
  5. Step 5: Solve for x
    x = 40,038,600,121.09/310,595.79
  6. Step 6: Final answer
    x = 128,909.02

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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.