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Finding the Fourth Proportional to 652,103.60, 978,155.40 and 540,129.20

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Solution

The fourth proportional to 652,103.60, 978,155.40 and 540,129.20 is: 810,193.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,103.60 : 978,155.40 = 540,129.20 : x
  2. Step 2: Convert to fraction form
    652,103.60/978,155.40 = 540,129.20/x
  3. Step 3: Cross multiply
    652,103.60x = 978,155.40 × 540,129.20
  4. Step 4: Simplify right side
    652,103.60x = 528,330,293,677.68
  5. Step 5: Solve for x
    x = 528,330,293,677.68/652,103.60
  6. Step 6: Final answer
    x = 810,193.80

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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.