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Finding the Fourth Proportional to 652,536,005.40, 978,804,008.10 and 376,659,077.40

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Solution

The fourth proportional to 652,536,005.40, 978,804,008.10 and 376,659,077.40 is: 564,988,616.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,536,005.40 : 978,804,008.10 = 376,659,077.40 : x
  2. Step 2: Convert to fraction form
    652,536,005.40/978,804,008.10 = 376,659,077.40/x
  3. Step 3: Cross multiply
    652,536,005.40x = 978,804,008.10 × 376,659,077.40
  4. Step 4: Simplify right side
    652,536,005.40x = 368,675,414,646,368,128
  5. Step 5: Solve for x
    x = 368,675,414,646,368,128/652,536,005.40
  6. Step 6: Final answer
    x = 564,988,616.10

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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.