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Finding the Fourth Proportional to 390,533.20, 585,799.80 and 141,156.88

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Solution

The fourth proportional to 390,533.20, 585,799.80 and 141,156.88 is: 211,735.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,533.20 : 585,799.80 = 141,156.88 : x
  2. Step 2: Convert to fraction form
    390,533.20/585,799.80 = 141,156.88/x
  3. Step 3: Cross multiply
    390,533.20x = 585,799.80 × 141,156.88
  4. Step 4: Simplify right side
    390,533.20x = 82,689,672,072.62
  5. Step 5: Solve for x
    x = 82,689,672,072.62/390,533.20
  6. Step 6: Final answer
    x = 211,735.32

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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.