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Finding the Fourth Proportional to 553,314.20, 829,971.30 and 520,071.80

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Solution

The fourth proportional to 553,314.20, 829,971.30 and 520,071.80 is: 780,107.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,314.20 : 829,971.30 = 520,071.80 : x
  2. Step 2: Convert to fraction form
    553,314.20/829,971.30 = 520,071.80/x
  3. Step 3: Cross multiply
    553,314.20x = 829,971.30 × 520,071.80
  4. Step 4: Simplify right side
    553,314.20x = 431,644,667,939.34
  5. Step 5: Solve for x
    x = 431,644,667,939.34/553,314.20
  6. Step 6: Final answer
    x = 780,107.70

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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.