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Finding the Fourth Proportional to 547,605.84, 755,646.81 and 305,854.86

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Solution

The fourth proportional to 547,605.84, 755,646.81 and 305,854.86 is: 422,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,605.84 : 755,646.81 = 305,854.86 : x
  2. Step 2: Convert to fraction form
    547,605.84/755,646.81 = 305,854.86/x
  3. Step 3: Cross multiply
    547,605.84x = 755,646.81 × 305,854.86
  4. Step 4: Simplify right side
    547,605.84x = 231,118,249,282.00
  5. Step 5: Solve for x
    x = 231,118,249,282.00/547,605.84
  6. Step 6: Final answer
    x = 422,052.20

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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.