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Finding the Fourth Proportional to 310,301.35, 465,442.75 and 85,675.50

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Solution

The fourth proportional to 310,301.35, 465,442.75 and 85,675.50 is: 128,510.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,301.35 : 465,442.75 = 85,675.50 : x
  2. Step 2: Convert to fraction form
    310,301.35/465,442.75 = 85,675.50/x
  3. Step 3: Cross multiply
    310,301.35x = 465,442.75 × 85,675.50
  4. Step 4: Simplify right side
    310,301.35x = 39,877,040,327.63
  5. Step 5: Solve for x
    x = 39,877,040,327.63/310,301.35
  6. Step 6: Final answer
    x = 128,510.69

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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.