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Finding the Fourth Proportional to 515,329.76, 711,162.40 and 311,352.32

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Solution

The fourth proportional to 515,329.76, 711,162.40 and 311,352.32 is: 429,670.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,329.76 : 711,162.40 = 311,352.32 : x
  2. Step 2: Convert to fraction form
    515,329.76/711,162.40 = 311,352.32/x
  3. Step 3: Cross multiply
    515,329.76x = 711,162.40 × 311,352.32
  4. Step 4: Simplify right side
    515,329.76x = 221,422,063,136.77
  5. Step 5: Solve for x
    x = 221,422,063,136.77/515,329.76
  6. Step 6: Final answer
    x = 429,670.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.