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Finding the Fourth Proportional to 312,490.18, 468,905.85 and 132,547.58

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Solution

The fourth proportional to 312,490.18, 468,905.85 and 132,547.58 is: 198,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,490.18 : 468,905.85 = 132,547.58 : x
  2. Step 2: Convert to fraction form
    312,490.18/468,905.85 = 132,547.58/x
  3. Step 3: Cross multiply
    312,490.18x = 468,905.85 × 132,547.58
  4. Step 4: Simplify right side
    312,490.18x = 62,152,335,665.34
  5. Step 5: Solve for x
    x = 62,152,335,665.34/312,490.18
  6. Step 6: Final answer
    x = 198,893.72

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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.