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Finding the Fourth Proportional to 871,130, 1,307,191.80 and 338,581.64

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Solution

The fourth proportional to 871,130, 1,307,191.80 and 338,581.64 is: 508,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    871,130 : 1,307,191.80 = 338,581.64 : x
  2. Step 2: Convert to fraction form
    871,130/1,307,191.80 = 338,581.64/x
  3. Step 3: Cross multiply
    871,130x = 1,307,191.80 × 338,581.64
  4. Step 4: Simplify right side
    871,130x = 442,591,143,438.55
  5. Step 5: Solve for x
    x = 442,591,143,438.55/871,130
  6. Step 6: Final answer
    x = 508,065.55

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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.