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Finding the Fourth Proportional to 547,103.76, 755,129.16 and 320,822.16

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Solution

The fourth proportional to 547,103.76, 755,129.16 and 320,822.16 is: 442,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,103.76 : 755,129.16 = 320,822.16 : x
  2. Step 2: Convert to fraction form
    547,103.76/755,129.16 = 320,822.16/x
  3. Step 3: Cross multiply
    547,103.76x = 755,129.16 × 320,822.16
  4. Step 4: Simplify right side
    547,103.76x = 242,262,168,190.19
  5. Step 5: Solve for x
    x = 242,262,168,190.19/547,103.76
  6. Step 6: Final answer
    x = 442,808.45

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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.