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Finding the Fourth Proportional to 309,765.87, 464,461.65 and 138,956.31

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Solution

The fourth proportional to 309,765.87, 464,461.65 and 138,956.31 is: 208,350.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,765.87 : 464,461.65 = 138,956.31 : x
  2. Step 2: Convert to fraction form
    309,765.87/464,461.65 = 138,956.31/x
  3. Step 3: Cross multiply
    309,765.87x = 464,461.65 × 138,956.31
  4. Step 4: Simplify right side
    309,765.87x = 64,539,877,020.51
  5. Step 5: Solve for x
    x = 64,539,877,020.51/309,765.87
  6. Step 6: Final answer
    x = 208,350.51

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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.