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Finding the Fourth Proportional to 547,740.09, 820,931.90 and 310,363.11

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Solution

The fourth proportional to 547,740.09, 820,931.90 and 310,363.11 is: 465,160.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,740.09 : 820,931.90 = 310,363.11 : x
  2. Step 2: Convert to fraction form
    547,740.09/820,931.90 = 310,363.11/x
  3. Step 3: Cross multiply
    547,740.09x = 820,931.90 × 310,363.11
  4. Step 4: Simplify right side
    547,740.09x = 254,786,976,030.39
  5. Step 5: Solve for x
    x = 254,786,976,030.39/547,740.09
  6. Step 6: Final answer
    x = 465,160.36

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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.