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Finding the Fourth Proportional to 307,066.47, 460,858.49 and 129,700.77

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Solution

The fourth proportional to 307,066.47, 460,858.49 and 129,700.77 is: 194,660.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,066.47 : 460,858.49 = 129,700.77 : x
  2. Step 2: Convert to fraction form
    307,066.47/460,858.49 = 129,700.77/x
  3. Step 3: Cross multiply
    307,066.47x = 460,858.49 × 129,700.77
  4. Step 4: Simplify right side
    307,066.47x = 59,773,701,014.04
  5. Step 5: Solve for x
    x = 59,773,701,014.04/307,066.47
  6. Step 6: Final answer
    x = 194,660.46

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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.