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Finding the Fourth Proportional to 307,419.80, 461,129.70 and 97,030.40

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Solution

The fourth proportional to 307,419.80, 461,129.70 and 97,030.40 is: 145,545.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,419.80 : 461,129.70 = 97,030.40 : x
  2. Step 2: Convert to fraction form
    307,419.80/461,129.70 = 97,030.40/x
  3. Step 3: Cross multiply
    307,419.80x = 461,129.70 × 97,030.40
  4. Step 4: Simplify right side
    307,419.80x = 44,743,599,242.88
  5. Step 5: Solve for x
    x = 44,743,599,242.88/307,419.80
  6. Step 6: Final answer
    x = 145,545.60

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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.