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Finding the Fourth Proportional to 520,047.60, 780,071.40 and 253,978.80

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Solution

The fourth proportional to 520,047.60, 780,071.40 and 253,978.80 is: 380,968.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,047.60 : 780,071.40 = 253,978.80 : x
  2. Step 2: Convert to fraction form
    520,047.60/780,071.40 = 253,978.80/x
  3. Step 3: Cross multiply
    520,047.60x = 780,071.40 × 253,978.80
  4. Step 4: Simplify right side
    520,047.60x = 198,121,598,086.32
  5. Step 5: Solve for x
    x = 198,121,598,086.32/520,047.60
  6. Step 6: Final answer
    x = 380,968.20

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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.