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Finding the Fourth Proportional to 529,831.40, 794,228.70 and 213,866.60

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Solution

The fourth proportional to 529,831.40, 794,228.70 and 213,866.60 is: 320,590.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,831.40 : 794,228.70 = 213,866.60 : x
  2. Step 2: Convert to fraction form
    529,831.40/794,228.70 = 213,866.60/x
  3. Step 3: Cross multiply
    529,831.40x = 794,228.70 × 213,866.60
  4. Step 4: Simplify right side
    529,831.40x = 169,858,991,691.42
  5. Step 5: Solve for x
    x = 169,858,991,691.42/529,831.40
  6. Step 6: Final answer
    x = 320,590.65

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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.