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Finding the Fourth Proportional to 652,435.20, 978,652.80 and 587,116.80

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Solution

The fourth proportional to 652,435.20, 978,652.80 and 587,116.80 is: 880,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,435.20 : 978,652.80 = 587,116.80 : x
  2. Step 2: Convert to fraction form
    652,435.20/978,652.80 = 587,116.80/x
  3. Step 3: Cross multiply
    652,435.20x = 978,652.80 × 587,116.80
  4. Step 4: Simplify right side
    652,435.20x = 574,583,500,247.04
  5. Step 5: Solve for x
    x = 574,583,500,247.04/652,435.20
  6. Step 6: Final answer
    x = 880,675.20

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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.