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Finding the Fourth Proportional to 515,388, 711,313.20 and 314,300.64

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Solution

The fourth proportional to 515,388, 711,313.20 and 314,300.64 is: 433,782.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,388 : 711,313.20 = 314,300.64 : x
  2. Step 2: Convert to fraction form
    515,388/711,313.20 = 314,300.64/x
  3. Step 3: Cross multiply
    515,388x = 711,313.20 × 314,300.64
  4. Step 4: Simplify right side
    515,388x = 223,566,194,000.45
  5. Step 5: Solve for x
    x = 223,566,194,000.45/515,388
  6. Step 6: Final answer
    x = 433,782.30

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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.