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Finding the Fourth Proportional to 515,416.50, 711,352.53 and 314,329.14

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Solution

The fourth proportional to 515,416.50, 711,352.53 and 314,329.14 is: 433,821.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,416.50 : 711,352.53 = 314,329.14 : x
  2. Step 2: Convert to fraction form
    515,416.50/711,352.53 = 314,329.14/x
  3. Step 3: Cross multiply
    515,416.50x = 711,352.53 × 314,329.14
  4. Step 4: Simplify right side
    515,416.50x = 223,598,828,991.72
  5. Step 5: Solve for x
    x = 223,598,828,991.72/515,416.50
  6. Step 6: Final answer
    x = 433,821.64

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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.