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Finding the Fourth Proportional to 492,409.92, 679,526 and 266,055.36

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Solution

The fourth proportional to 492,409.92, 679,526 and 266,055.36 is: 367,156.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,409.92 : 679,526 = 266,055.36 : x
  2. Step 2: Convert to fraction form
    492,409.92/679,526 = 266,055.36/x
  3. Step 3: Cross multiply
    492,409.92x = 679,526 × 266,055.36
  4. Step 4: Simplify right side
    492,409.92x = 180,791,534,559.36
  5. Step 5: Solve for x
    x = 180,791,534,559.36/492,409.92
  6. Step 6: Final answer
    x = 367,156.56

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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.