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Finding the Fourth Proportional to 527,492, 727,938.96 and 289,022.88

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Solution

The fourth proportional to 527,492, 727,938.96 and 289,022.88 is: 398,851.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,492 : 727,938.96 = 289,022.88 : x
  2. Step 2: Convert to fraction form
    527,492/727,938.96 = 289,022.88/x
  3. Step 3: Cross multiply
    527,492x = 727,938.96 × 289,022.88
  4. Step 4: Simplify right side
    527,492x = 210,391,014,683.41
  5. Step 5: Solve for x
    x = 210,391,014,683.41/527,492
  6. Step 6: Final answer
    x = 398,851.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.