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Finding the Fourth Proportional to 707,984.78, 977,015.16 and 385,694.10

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Solution

The fourth proportional to 707,984.78, 977,015.16 and 385,694.10 is: 532,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,984.78 : 977,015.16 = 385,694.10 : x
  2. Step 2: Convert to fraction form
    707,984.78/977,015.16 = 385,694.10/x
  3. Step 3: Cross multiply
    707,984.78x = 977,015.16 × 385,694.10
  4. Step 4: Simplify right side
    707,984.78x = 376,828,982,822.56
  5. Step 5: Solve for x
    x = 376,828,982,822.56/707,984.78
  6. Step 6: Final answer
    x = 532,255.77

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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.