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Finding the Fourth Proportional to 403,384.16, 605,070.70 and 137,330.21

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Solution

The fourth proportional to 403,384.16, 605,070.70 and 137,330.21 is: 205,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,384.16 : 605,070.70 = 137,330.21 : x
  2. Step 2: Convert to fraction form
    403,384.16/605,070.70 = 137,330.21/x
  3. Step 3: Cross multiply
    403,384.16x = 605,070.70 × 137,330.21
  4. Step 4: Simplify right side
    403,384.16x = 83,094,486,295.85
  5. Step 5: Solve for x
    x = 83,094,486,295.85/403,384.16
  6. Step 6: Final answer
    x = 205,993.43

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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.