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Finding the Fourth Proportional to 520,722.40, 779,269.20 and 310,511.20

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Solution

The fourth proportional to 520,722.40, 779,269.20 and 310,511.20 is: 464,684.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,722.40 : 779,269.20 = 310,511.20 : x
  2. Step 2: Convert to fraction form
    520,722.40/779,269.20 = 310,511.20/x
  3. Step 3: Cross multiply
    520,722.40x = 779,269.20 × 310,511.20
  4. Step 4: Simplify right side
    520,722.40x = 241,971,814,415.04
  5. Step 5: Solve for x
    x = 241,971,814,415.04/520,722.40
  6. Step 6: Final answer
    x = 464,684.86

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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.