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Finding the Fourth Proportional to 652,595.96, 978,920.49 and 310,863.72

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Solution

The fourth proportional to 652,595.96, 978,920.49 and 310,863.72 is: 466,308.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,595.96 : 978,920.49 = 310,863.72 : x
  2. Step 2: Convert to fraction form
    652,595.96/978,920.49 = 310,863.72/x
  3. Step 3: Cross multiply
    652,595.96x = 978,920.49 × 310,863.72
  4. Step 4: Simplify right side
    652,595.96x = 304,310,860,268.93
  5. Step 5: Solve for x
    x = 304,310,860,268.93/652,595.96
  6. Step 6: Final answer
    x = 466,308.22

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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.