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Finding the Fourth Proportional to 6,447,769.42, 9,671,304.18 and 1,959,695.50

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Solution

The fourth proportional to 6,447,769.42, 9,671,304.18 and 1,959,695.50 is: 2,939,436.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447,769.42 : 9,671,304.18 = 1,959,695.50 : x
  2. Step 2: Convert to fraction form
    6,447,769.42/9,671,304.18 = 1,959,695.50/x
  3. Step 3: Cross multiply
    6,447,769.42x = 9,671,304.18 × 1,959,695.50
  4. Step 4: Simplify right side
    6,447,769.42x = 18,952,811,280,677.19
  5. Step 5: Solve for x
    x = 18,952,811,280,677.19/6,447,769.42
  6. Step 6: Final answer
    x = 2,939,436.89

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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.