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Finding the Fourth Proportional to 399,848.16, 599,870.64 and 281,750.16

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Solution

The fourth proportional to 399,848.16, 599,870.64 and 281,750.16 is: 422,694.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,848.16 : 599,870.64 = 281,750.16 : x
  2. Step 2: Convert to fraction form
    399,848.16/599,870.64 = 281,750.16/x
  3. Step 3: Cross multiply
    399,848.16x = 599,870.64 × 281,750.16
  4. Step 4: Simplify right side
    399,848.16x = 169,013,648,799.30
  5. Step 5: Solve for x
    x = 169,013,648,799.30/399,848.16
  6. Step 6: Final answer
    x = 422,694.58

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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.