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Finding the Fourth Proportional to 492,780.74, 680,038.40 and 266,426.24

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Solution

The fourth proportional to 492,780.74, 680,038.40 and 266,426.24 is: 367,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,780.74 : 680,038.40 = 266,426.24 : x
  2. Step 2: Convert to fraction form
    492,780.74/680,038.40 = 266,426.24/x
  3. Step 3: Cross multiply
    492,780.74x = 680,038.40 × 266,426.24
  4. Step 4: Simplify right side
    492,780.74x = 181,180,071,233.49
  5. Step 5: Solve for x
    x = 181,180,071,233.49/492,780.74
  6. Step 6: Final answer
    x = 367,668.74

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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.