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Finding the Fourth Proportional to 521,346.81, 782,033.91 and 166,360.47

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Solution

The fourth proportional to 521,346.81, 782,033.91 and 166,360.47 is: 249,545.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,346.81 : 782,033.91 = 166,360.47 : x
  2. Step 2: Convert to fraction form
    521,346.81/782,033.91 = 166,360.47/x
  3. Step 3: Cross multiply
    521,346.81x = 782,033.91 × 166,360.47
  4. Step 4: Simplify right side
    521,346.81x = 130,099,528,823.54
  5. Step 5: Solve for x
    x = 130,099,528,823.54/521,346.81
  6. Step 6: Final answer
    x = 249,545.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.