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Finding the Fourth Proportional to 517,968.80, 776,492.40 and 307,383.20

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Solution

The fourth proportional to 517,968.80, 776,492.40 and 307,383.20 is: 460,801.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,968.80 : 776,492.40 = 307,383.20 : x
  2. Step 2: Convert to fraction form
    517,968.80/776,492.40 = 307,383.20/x
  3. Step 3: Cross multiply
    517,968.80x = 776,492.40 × 307,383.20
  4. Step 4: Simplify right side
    517,968.80x = 238,680,718,687.68
  5. Step 5: Solve for x
    x = 238,680,718,687.68/517,968.80
  6. Step 6: Final answer
    x = 460,801.34

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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.