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Finding the Fourth Proportional to 312,456, 468,763.92 and 90,840

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Solution

The fourth proportional to 312,456, 468,763.92 and 90,840 is: 136,283.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,456 : 468,763.92 = 90,840 : x
  2. Step 2: Convert to fraction form
    312,456/468,763.92 = 90,840/x
  3. Step 3: Cross multiply
    312,456x = 468,763.92 × 90,840
  4. Step 4: Simplify right side
    312,456x = 42,582,514,492.80
  5. Step 5: Solve for x
    x = 42,582,514,492.80/312,456
  6. Step 6: Final answer
    x = 136,283.24

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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.