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Finding the Fourth Proportional to 647,026.40, 970,366.80 and 197,746.40

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Solution

The fourth proportional to 647,026.40, 970,366.80 and 197,746.40 is: 296,566.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,026.40 : 970,366.80 = 197,746.40 : x
  2. Step 2: Convert to fraction form
    647,026.40/970,366.80 = 197,746.40/x
  3. Step 3: Cross multiply
    647,026.40x = 970,366.80 × 197,746.40
  4. Step 4: Simplify right side
    647,026.40x = 191,886,541,379.52
  5. Step 5: Solve for x
    x = 191,886,541,379.52/647,026.40
  6. Step 6: Final answer
    x = 296,566.79

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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.