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Finding the Fourth Proportional to 285,974.01, 428,950.23 and 86,289.07

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Solution

The fourth proportional to 285,974.01, 428,950.23 and 86,289.07 is: 129,430.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,974.01 : 428,950.23 = 86,289.07 : x
  2. Step 2: Convert to fraction form
    285,974.01/428,950.23 = 86,289.07/x
  3. Step 3: Cross multiply
    285,974.01x = 428,950.23 × 86,289.07
  4. Step 4: Simplify right side
    285,974.01x = 37,013,716,422.99
  5. Step 5: Solve for x
    x = 37,013,716,422.99/285,974.01
  6. Step 6: Final answer
    x = 129,430.35

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1.5x scale

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.