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Finding the Fourth Proportional to 461,506.40, 692,331.60 and 145,933.28

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Solution

The fourth proportional to 461,506.40, 692,331.60 and 145,933.28 is: 218,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,506.40 : 692,331.60 = 145,933.28 : x
  2. Step 2: Convert to fraction form
    461,506.40/692,331.60 = 145,933.28/x
  3. Step 3: Cross multiply
    461,506.40x = 692,331.60 × 145,933.28
  4. Step 4: Simplify right side
    461,506.40x = 101,034,221,235.65
  5. Step 5: Solve for x
    x = 101,034,221,235.65/461,506.40
  6. Step 6: Final answer
    x = 218,922.69

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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.