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Finding the Fourth Proportional to 517,020.33, 713,477.80 and 287,572.67

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Solution

The fourth proportional to 517,020.33, 713,477.80 and 287,572.67 is: 396,844.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,020.33 : 713,477.80 = 287,572.67 : x
  2. Step 2: Convert to fraction form
    517,020.33/713,477.80 = 287,572.67/x
  3. Step 3: Cross multiply
    517,020.33x = 713,477.80 × 287,572.67
  4. Step 4: Simplify right side
    517,020.33x = 205,176,717,394.49
  5. Step 5: Solve for x
    x = 205,176,717,394.49/517,020.33
  6. Step 6: Final answer
    x = 396,844.59

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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.