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Finding the Fourth Proportional to 384,516.48, 575,638.80 and 284,009.28

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Solution

The fourth proportional to 384,516.48, 575,638.80 and 284,009.28 is: 425,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,516.48 : 575,638.80 = 284,009.28 : x
  2. Step 2: Convert to fraction form
    384,516.48/575,638.80 = 284,009.28/x
  3. Step 3: Cross multiply
    384,516.48x = 575,638.80 × 284,009.28
  4. Step 4: Simplify right side
    384,516.48x = 163,486,761,128.06
  5. Step 5: Solve for x
    x = 163,486,761,128.06/384,516.48
  6. Step 6: Final answer
    x = 425,174.91

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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.