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Finding the Fourth Proportional to 611,140.32, 843,357.51 and 339,207.51

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Solution

The fourth proportional to 611,140.32, 843,357.51 and 339,207.51 is: 468,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,140.32 : 843,357.51 = 339,207.51 : x
  2. Step 2: Convert to fraction form
    611,140.32/843,357.51 = 339,207.51/x
  3. Step 3: Cross multiply
    611,140.32x = 843,357.51 × 339,207.51
  4. Step 4: Simplify right side
    611,140.32x = 286,073,201,006.90
  5. Step 5: Solve for x
    x = 286,073,201,006.90/611,140.32
  6. Step 6: Final answer
    x = 468,097.41

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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.