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Finding the Fourth Proportional to 310,915.41, 466,320.95 and 86,298.67

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Solution

The fourth proportional to 310,915.41, 466,320.95 and 86,298.67 is: 129,433.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,915.41 : 466,320.95 = 86,298.67 : x
  2. Step 2: Convert to fraction form
    310,915.41/466,320.95 = 86,298.67/x
  3. Step 3: Cross multiply
    310,915.41x = 466,320.95 × 86,298.67
  4. Step 4: Simplify right side
    310,915.41x = 40,242,877,778.14
  5. Step 5: Solve for x
    x = 40,242,877,778.14/310,915.41
  6. Step 6: Final answer
    x = 129,433.53

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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.