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Finding the Fourth Proportional to 431,712, 595,762.56 and 252,864

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Solution

The fourth proportional to 431,712, 595,762.56 and 252,864 is: 348,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,712 : 595,762.56 = 252,864 : x
  2. Step 2: Convert to fraction form
    431,712/595,762.56 = 252,864/x
  3. Step 3: Cross multiply
    431,712x = 595,762.56 × 252,864
  4. Step 4: Simplify right side
    431,712x = 150,646,903,971.84
  5. Step 5: Solve for x
    x = 150,646,903,971.84/431,712
  6. Step 6: Final answer
    x = 348,952.32

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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.