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Finding the Fourth Proportional to 442,021.11, 610,062.51 and 260,777.60

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Solution

The fourth proportional to 442,021.11, 610,062.51 and 260,777.60 is: 359,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,021.11 : 610,062.51 = 260,777.60 : x
  2. Step 2: Convert to fraction form
    442,021.11/610,062.51 = 260,777.60/x
  3. Step 3: Cross multiply
    442,021.11x = 610,062.51 × 260,777.60
  4. Step 4: Simplify right side
    442,021.11x = 159,090,637,207.78
  5. Step 5: Solve for x
    x = 159,090,637,207.78/442,021.11
  6. Step 6: Final answer
    x = 359,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.