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Finding the Fourth Proportional to 739,095.84, 1,019,952 and 399,564

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Solution

The fourth proportional to 739,095.84, 1,019,952 and 399,564 is: 551,398.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,095.84 : 1,019,952 = 399,564 : x
  2. Step 2: Convert to fraction form
    739,095.84/1,019,952 = 399,564/x
  3. Step 3: Cross multiply
    739,095.84x = 1,019,952 × 399,564
  4. Step 4: Simplify right side
    739,095.84x = 407,536,100,928
  5. Step 5: Solve for x
    x = 407,536,100,928/739,095.84
  6. Step 6: Final answer
    x = 551,398.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.