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Finding the Fourth Proportional to 767,972, 1,152,472.20 and 318,693.32

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Solution

The fourth proportional to 767,972, 1,152,472.20 and 318,693.32 is: 478,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,972 : 1,152,472.20 = 318,693.32 : x
  2. Step 2: Convert to fraction form
    767,972/1,152,472.20 = 318,693.32/x
  3. Step 3: Cross multiply
    767,972x = 1,152,472.20 × 318,693.32
  4. Step 4: Simplify right side
    767,972x = 367,285,191,625.70
  5. Step 5: Solve for x
    x = 367,285,191,625.70/767,972
  6. Step 6: Final answer
    x = 478,253.36

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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.