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Finding the Fourth Proportional to 652,383,656.64, 978,667,411.68 and 209,577,857.76

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Solution

The fourth proportional to 652,383,656.64, 978,667,411.68 and 209,577,857.76 is: 314,396,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,383,656.64 : 978,667,411.68 = 209,577,857.76 : x
  2. Step 2: Convert to fraction form
    652,383,656.64/978,667,411.68 = 209,577,857.76/x
  3. Step 3: Cross multiply
    652,383,656.64x = 978,667,411.68 × 209,577,857.76
  4. Step 4: Simplify right side
    652,383,656.64x = 205,107,019,599,418,368
  5. Step 5: Solve for x
    x = 205,107,019,599,418,368/652,383,656.64
  6. Step 6: Final answer
    x = 314,396,318.04

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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.