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Finding the Fourth Proportional to 521,752.70, 782,590.76 and 166,671.38

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Solution

The fourth proportional to 521,752.70, 782,590.76 and 166,671.38 is: 249,994.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,752.70 : 782,590.76 = 166,671.38 : x
  2. Step 2: Convert to fraction form
    521,752.70/782,590.76 = 166,671.38/x
  3. Step 3: Cross multiply
    521,752.70x = 782,590.76 × 166,671.38
  4. Step 4: Simplify right side
    521,752.70x = 130,435,478,448.17
  5. Step 5: Solve for x
    x = 130,435,478,448.17/521,752.70
  6. Step 6: Final answer
    x = 249,994.83

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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.