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Finding the Fourth Proportional to 314,432.83, 471,706.67 and 145,929.95

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Solution

The fourth proportional to 314,432.83, 471,706.67 and 145,929.95 is: 218,921.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,432.83 : 471,706.67 = 145,929.95 : x
  2. Step 2: Convert to fraction form
    314,432.83/471,706.67 = 145,929.95/x
  3. Step 3: Cross multiply
    314,432.83x = 471,706.67 × 145,929.95
  4. Step 4: Simplify right side
    314,432.83x = 68,836,128,774.06
  5. Step 5: Solve for x
    x = 68,836,128,774.06/314,432.83
  6. Step 6: Final answer
    x = 218,921.57

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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.