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Finding the Fourth Proportional to 384,520.48, 575,644.80 and 284,013.28

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Solution

The fourth proportional to 384,520.48, 575,644.80 and 284,013.28 is: 425,180.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,520.48 : 575,644.80 = 284,013.28 : x
  2. Step 2: Convert to fraction form
    384,520.48/575,644.80 = 284,013.28/x
  3. Step 3: Cross multiply
    384,520.48x = 575,644.80 × 284,013.28
  4. Step 4: Simplify right side
    384,520.48x = 163,490,767,762.94
  5. Step 5: Solve for x
    x = 163,490,767,762.94/384,520.48
  6. Step 6: Final answer
    x = 425,180.91

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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.