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Finding the Fourth Proportional to 642,864, 964,488.72 and 193,599.48

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Solution

The fourth proportional to 642,864, 964,488.72 and 193,599.48 is: 290,457.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,864 : 964,488.72 = 193,599.48 : x
  2. Step 2: Convert to fraction form
    642,864/964,488.72 = 193,599.48/x
  3. Step 3: Cross multiply
    642,864x = 964,488.72 × 193,599.48
  4. Step 4: Simplify right side
    642,864x = 186,724,514,657.87
  5. Step 5: Solve for x
    x = 186,724,514,657.87/642,864
  6. Step 6: Final answer
    x = 290,457.26

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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.