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Finding the Fourth Proportional to 551,578.20, 761,210.42 and 415,371.84

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Solution

The fourth proportional to 551,578.20, 761,210.42 and 415,371.84 is: 573,237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,578.20 : 761,210.42 = 415,371.84 : x
  2. Step 2: Convert to fraction form
    551,578.20/761,210.42 = 415,371.84/x
  3. Step 3: Cross multiply
    551,578.20x = 761,210.42 × 415,371.84
  4. Step 4: Simplify right side
    551,578.20x = 316,185,372,782.57
  5. Step 5: Solve for x
    x = 316,185,372,782.57/551,578.20
  6. Step 6: Final answer
    x = 573,237.62

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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.