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Finding the Fourth Proportional to 307,306, 461,036.76 and 85,690

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Solution

The fourth proportional to 307,306, 461,036.76 and 85,690 is: 128,556.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,306 : 461,036.76 = 85,690 : x
  2. Step 2: Convert to fraction form
    307,306/461,036.76 = 85,690/x
  3. Step 3: Cross multiply
    307,306x = 461,036.76 × 85,690
  4. Step 4: Simplify right side
    307,306x = 39,506,239,964.40
  5. Step 5: Solve for x
    x = 39,506,239,964.40/307,306
  6. Step 6: Final answer
    x = 128,556.68

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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.