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Finding the Fourth Proportional to 492,123.76, 679,130.80 and 265,769.28

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Solution

The fourth proportional to 492,123.76, 679,130.80 and 265,769.28 is: 366,761.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,123.76 : 679,130.80 = 265,769.28 : x
  2. Step 2: Convert to fraction form
    492,123.76/679,130.80 = 265,769.28/x
  3. Step 3: Cross multiply
    492,123.76x = 679,130.80 × 265,769.28
  4. Step 4: Simplify right side
    492,123.76x = 180,492,103,741.82
  5. Step 5: Solve for x
    x = 180,492,103,741.82/492,123.76
  6. Step 6: Final answer
    x = 366,761.61

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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.