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Finding the Fourth Proportional to 312,945.88, 469,484.16 and 102,567.28

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Solution

The fourth proportional to 312,945.88, 469,484.16 and 102,567.28 is: 153,872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,945.88 : 469,484.16 = 102,567.28 : x
  2. Step 2: Convert to fraction form
    312,945.88/469,484.16 = 102,567.28/x
  3. Step 3: Cross multiply
    312,945.88x = 469,484.16 × 102,567.28
  4. Step 4: Simplify right side
    312,945.88x = 48,153,713,294.28
  5. Step 5: Solve for x
    x = 48,153,713,294.28/312,945.88
  6. Step 6: Final answer
    x = 153,872.34

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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.