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Finding the Fourth Proportional to 782,133, 1,079,343.54 and 424,437

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Solution

The fourth proportional to 782,133, 1,079,343.54 and 424,437 is: 585,723.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,133 : 1,079,343.54 = 424,437 : x
  2. Step 2: Convert to fraction form
    782,133/1,079,343.54 = 424,437/x
  3. Step 3: Cross multiply
    782,133x = 1,079,343.54 × 424,437
  4. Step 4: Simplify right side
    782,133x = 458,113,334,086.98
  5. Step 5: Solve for x
    x = 458,113,334,086.98/782,133
  6. Step 6: Final answer
    x = 585,723.06

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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.