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Finding the Fourth Proportional to 648,138.60, 972,207.90 and 174,871.80

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Solution

The fourth proportional to 648,138.60, 972,207.90 and 174,871.80 is: 262,307.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,138.60 : 972,207.90 = 174,871.80 : x
  2. Step 2: Convert to fraction form
    648,138.60/972,207.90 = 174,871.80/x
  3. Step 3: Cross multiply
    648,138.60x = 972,207.90 × 174,871.80
  4. Step 4: Simplify right side
    648,138.60x = 170,011,745,447.22
  5. Step 5: Solve for x
    x = 170,011,745,447.22/648,138.60
  6. Step 6: Final answer
    x = 262,307.70

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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.