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Finding the Fourth Proportional to 402,792.78, 604,189.11 and 191,791.02

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Solution

The fourth proportional to 402,792.78, 604,189.11 and 191,791.02 is: 287,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,792.78 : 604,189.11 = 191,791.02 : x
  2. Step 2: Convert to fraction form
    402,792.78/604,189.11 = 191,791.02/x
  3. Step 3: Cross multiply
    402,792.78x = 604,189.11 × 191,791.02
  4. Step 4: Simplify right side
    402,792.78x = 115,878,045,679.79
  5. Step 5: Solve for x
    x = 115,878,045,679.79/402,792.78
  6. Step 6: Final answer
    x = 287,686.50

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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.