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Finding the Fourth Proportional to 461,913.12, 692,928 and 146,257.20

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Solution

The fourth proportional to 461,913.12, 692,928 and 146,257.20 is: 219,404.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,913.12 : 692,928 = 146,257.20 : x
  2. Step 2: Convert to fraction form
    461,913.12/692,928 = 146,257.20/x
  3. Step 3: Cross multiply
    461,913.12x = 692,928 × 146,257.20
  4. Step 4: Simplify right side
    461,913.12x = 101,345,709,081.60
  5. Step 5: Solve for x
    x = 101,345,709,081.60/461,913.12
  6. Step 6: Final answer
    x = 219,404.27

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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.