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Finding the Fourth Proportional to 548,734.32, 757,282.80 and 307,002.48

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Solution

The fourth proportional to 548,734.32, 757,282.80 and 307,002.48 is: 423,679.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,734.32 : 757,282.80 = 307,002.48 : x
  2. Step 2: Convert to fraction form
    548,734.32/757,282.80 = 307,002.48/x
  3. Step 3: Cross multiply
    548,734.32x = 757,282.80 × 307,002.48
  4. Step 4: Simplify right side
    548,734.32x = 232,487,697,661.34
  5. Step 5: Solve for x
    x = 232,487,697,661.34/548,734.32
  6. Step 6: Final answer
    x = 423,679.89

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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.