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Finding the Fourth Proportional to 614,443.20, 921,664.80 and 314,824.20

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Solution

The fourth proportional to 614,443.20, 921,664.80 and 314,824.20 is: 472,236.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,443.20 : 921,664.80 = 314,824.20 : x
  2. Step 2: Convert to fraction form
    614,443.20/921,664.80 = 314,824.20/x
  3. Step 3: Cross multiply
    614,443.20x = 921,664.80 × 314,824.20
  4. Step 4: Simplify right side
    614,443.20x = 290,162,383,328.16
  5. Step 5: Solve for x
    x = 290,162,383,328.16/614,443.20
  6. Step 6: Final answer
    x = 472,236.30

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1.5x scale

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.