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Finding the Fourth Proportional to 402,181.88, 602,130.42 and 307,301.24

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Solution

The fourth proportional to 402,181.88, 602,130.42 and 307,301.24 is: 460,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,181.88 : 602,130.42 = 307,301.24 : x
  2. Step 2: Convert to fraction form
    402,181.88/602,130.42 = 307,301.24/x
  3. Step 3: Cross multiply
    402,181.88x = 602,130.42 × 307,301.24
  4. Step 4: Simplify right side
    402,181.88x = 185,035,424,707.72
  5. Step 5: Solve for x
    x = 185,035,424,707.72/402,181.88
  6. Step 6: Final answer
    x = 460,078.97

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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.