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Finding the Fourth Proportional to 312,445, 468,747.42 and 90,829

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Solution

The fourth proportional to 312,445, 468,747.42 and 90,829 is: 136,266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,445 : 468,747.42 = 90,829 : x
  2. Step 2: Convert to fraction form
    312,445/468,747.42 = 90,829/x
  3. Step 3: Cross multiply
    312,445x = 468,747.42 × 90,829
  4. Step 4: Simplify right side
    312,445x = 42,575,859,411.18
  5. Step 5: Solve for x
    x = 42,575,859,411.18/312,445
  6. Step 6: Final answer
    x = 136,266.73

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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.