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Finding the Fourth Proportional to 310,310, 465,430.15 and 85,702.37

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Solution

The fourth proportional to 310,310, 465,430.15 and 85,702.37 is: 128,543.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,310 : 465,430.15 = 85,702.37 : x
  2. Step 2: Convert to fraction form
    310,310/465,430.15 = 85,702.37/x
  3. Step 3: Cross multiply
    310,310x = 465,430.15 × 85,702.37
  4. Step 4: Simplify right side
    310,310x = 39,888,466,924.46
  5. Step 5: Solve for x
    x = 39,888,466,924.46/310,310
  6. Step 6: Final answer
    x = 128,543.93

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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.