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Finding the Fourth Proportional to 492,864.04, 680,151.88 and 266,509

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Solution

The fourth proportional to 492,864.04, 680,151.88 and 266,509 is: 367,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,864.04 : 680,151.88 = 266,509 : x
  2. Step 2: Convert to fraction form
    492,864.04/680,151.88 = 266,509/x
  3. Step 3: Cross multiply
    492,864.04x = 680,151.88 × 266,509
  4. Step 4: Simplify right side
    492,864.04x = 181,266,597,386.92
  5. Step 5: Solve for x
    x = 181,266,597,386.92/492,864.04
  6. Step 6: Final answer
    x = 367,782.15

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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.