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Finding the Fourth Proportional to 384,517.48, 575,640.30 and 284,010.28

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Solution

The fourth proportional to 384,517.48, 575,640.30 and 284,010.28 is: 425,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,517.48 : 575,640.30 = 284,010.28 : x
  2. Step 2: Convert to fraction form
    384,517.48/575,640.30 = 284,010.28/x
  3. Step 3: Cross multiply
    384,517.48x = 575,640.30 × 284,010.28
  4. Step 4: Simplify right side
    384,517.48x = 163,487,762,782.28
  5. Step 5: Solve for x
    x = 163,487,762,782.28/384,517.48
  6. Step 6: Final answer
    x = 425,176.41

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1.5x scale

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.