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Finding the Fourth Proportional to 307,859.40, 461,742.93 and 97,470

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Solution

The fourth proportional to 307,859.40, 461,742.93 and 97,470 is: 146,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,859.40 : 461,742.93 = 97,470 : x
  2. Step 2: Convert to fraction form
    307,859.40/461,742.93 = 97,470/x
  3. Step 3: Cross multiply
    307,859.40x = 461,742.93 × 97,470
  4. Step 4: Simplify right side
    307,859.40x = 45,006,083,387.10
  5. Step 5: Solve for x
    x = 45,006,083,387.10/307,859.40
  6. Step 6: Final answer
    x = 146,190.38

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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.