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Finding the Fourth Proportional to 648,470.60, 972,851.70 and 199,212.20

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Solution

The fourth proportional to 648,470.60, 972,851.70 and 199,212.20 is: 298,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,470.60 : 972,851.70 = 199,212.20 : x
  2. Step 2: Convert to fraction form
    648,470.60/972,851.70 = 199,212.20/x
  3. Step 3: Cross multiply
    648,470.60x = 972,851.70 × 199,212.20
  4. Step 4: Simplify right side
    648,470.60x = 193,803,927,430.74
  5. Step 5: Solve for x
    x = 193,803,927,430.74/648,470.60
  6. Step 6: Final answer
    x = 298,863.09

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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.