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Finding the Fourth Proportional to 647,112.40, 970,495.80 and 197,832.40

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Solution

The fourth proportional to 647,112.40, 970,495.80 and 197,832.40 is: 296,695.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,112.40 : 970,495.80 = 197,832.40 : x
  2. Step 2: Convert to fraction form
    647,112.40/970,495.80 = 197,832.40/x
  3. Step 3: Cross multiply
    647,112.40x = 970,495.80 × 197,832.40
  4. Step 4: Simplify right side
    647,112.40x = 191,995,513,303.92
  5. Step 5: Solve for x
    x = 191,995,513,303.92/647,112.40
  6. Step 6: Final answer
    x = 296,695.77

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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.