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Finding the Fourth Proportional to 310,471.35, 465,317.46 and 132,769.40

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Solution

The fourth proportional to 310,471.35, 465,317.46 and 132,769.40 is: 198,987.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,471.35 : 465,317.46 = 132,769.40 : x
  2. Step 2: Convert to fraction form
    310,471.35/465,317.46 = 132,769.40/x
  3. Step 3: Cross multiply
    310,471.35x = 465,317.46 × 132,769.40
  4. Step 4: Simplify right side
    310,471.35x = 61,779,917,647.14
  5. Step 5: Solve for x
    x = 61,779,917,647.14/310,471.35
  6. Step 6: Final answer
    x = 198,987.50

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1.5x scale

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.