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Finding the Fourth Proportional to 310,360.14, 465,530.96 and 85,734.04

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Solution

The fourth proportional to 310,360.14, 465,530.96 and 85,734.04 is: 128,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,360.14 : 465,530.96 = 85,734.04 : x
  2. Step 2: Convert to fraction form
    310,360.14/465,530.96 = 85,734.04/x
  3. Step 3: Cross multiply
    310,360.14x = 465,530.96 × 85,734.04
  4. Step 4: Simplify right side
    310,360.14x = 39,911,849,945.88
  5. Step 5: Solve for x
    x = 39,911,849,945.88/310,360.14
  6. Step 6: Final answer
    x = 128,598.50

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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.