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Finding the Fourth Proportional to 646,989.90, 970,312.05 and 197,709.90

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Solution

The fourth proportional to 646,989.90, 970,312.05 and 197,709.90 is: 296,512.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,989.90 : 970,312.05 = 197,709.90 : x
  2. Step 2: Convert to fraction form
    646,989.90/970,312.05 = 197,709.90/x
  3. Step 3: Cross multiply
    646,989.90x = 970,312.05 × 197,709.90
  4. Step 4: Simplify right side
    646,989.90x = 191,840,298,374.30
  5. Step 5: Solve for x
    x = 191,840,298,374.30/646,989.90
  6. Step 6: Final answer
    x = 296,512.05

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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.