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Finding the Fourth Proportional to 12,380,657.40, 18,570,986.10 and 12,380,657.40

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Solution

The fourth proportional to 12,380,657.40, 18,570,986.10 and 12,380,657.40 is: 18,570,986.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,380,657.40 : 18,570,986.10 = 12,380,657.40 : x
  2. Step 2: Convert to fraction form
    12,380,657.40/18,570,986.10 = 12,380,657.40/x
  3. Step 3: Cross multiply
    12,380,657.40x = 18,570,986.10 × 12,380,657.40
  4. Step 4: Simplify right side
    12,380,657.40x = 229,921,016,484,262.16
  5. Step 5: Solve for x
    x = 229,921,016,484,262.16/12,380,657.40
  6. Step 6: Final answer
    x = 18,570,986.10

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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.