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Finding the Fourth Proportional to 511,976.79, 768,307.98 and 212,457.66

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Solution

The fourth proportional to 511,976.79, 768,307.98 and 212,457.66 is: 318,828.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,976.79 : 768,307.98 = 212,457.66 : x
  2. Step 2: Convert to fraction form
    511,976.79/768,307.98 = 212,457.66/x
  3. Step 3: Cross multiply
    511,976.79x = 768,307.98 × 212,457.66
  4. Step 4: Simplify right side
    511,976.79x = 163,232,913,505.69
  5. Step 5: Solve for x
    x = 163,232,913,505.69/511,976.79
  6. Step 6: Final answer
    x = 318,828.74

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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.