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Finding the Fourth Proportional to 412,988,009.70, 619,482,014.55 and 182,712,656.10

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Solution

The fourth proportional to 412,988,009.70, 619,482,014.55 and 182,712,656.10 is: 274,068,984.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,988,009.70 : 619,482,014.55 = 182,712,656.10 : x
  2. Step 2: Convert to fraction form
    412,988,009.70/619,482,014.55 = 182,712,656.10/x
  3. Step 3: Cross multiply
    412,988,009.70x = 619,482,014.55 × 182,712,656.10
  4. Step 4: Simplify right side
    412,988,009.70x = 113,187,204,284,609,328
  5. Step 5: Solve for x
    x = 113,187,204,284,609,328/412,988,009.70
  6. Step 6: Final answer
    x = 274,068,984.15

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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.