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Finding the Fourth Proportional to 307,531.40, 461,359.36 and 130,038.12

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Solution

The fourth proportional to 307,531.40, 461,359.36 and 130,038.12 is: 195,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,531.40 : 461,359.36 = 130,038.12 : x
  2. Step 2: Convert to fraction form
    307,531.40/461,359.36 = 130,038.12/x
  3. Step 3: Cross multiply
    307,531.40x = 461,359.36 × 130,038.12
  4. Step 4: Simplify right side
    307,531.40x = 59,994,303,818.80
  5. Step 5: Solve for x
    x = 59,994,303,818.80/307,531.40
  6. Step 6: Final answer
    x = 195,083.51

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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.