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Finding the Fourth Proportional to 521,349.81, 782,038.41 and 166,363.47

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Solution

The fourth proportional to 521,349.81, 782,038.41 and 166,363.47 is: 249,549.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,349.81 : 782,038.41 = 166,363.47 : x
  2. Step 2: Convert to fraction form
    521,349.81/782,038.41 = 166,363.47/x
  3. Step 3: Cross multiply
    521,349.81x = 782,038.41 × 166,363.47
  4. Step 4: Simplify right side
    521,349.81x = 130,102,623,560.88
  5. Step 5: Solve for x
    x = 130,102,623,560.88/521,349.81
  6. Step 6: Final answer
    x = 249,549.58

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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.