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Finding the Fourth Proportional to 435,802.40, 653,741.28 and 120,259.32

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Solution

The fourth proportional to 435,802.40, 653,741.28 and 120,259.32 is: 180,399.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,802.40 : 653,741.28 = 120,259.32 : x
  2. Step 2: Convert to fraction form
    435,802.40/653,741.28 = 120,259.32/x
  3. Step 3: Cross multiply
    435,802.40x = 653,741.28 × 120,259.32
  4. Step 4: Simplify right side
    435,802.40x = 78,618,481,788.73
  5. Step 5: Solve for x
    x = 78,618,481,788.73/435,802.40
  6. Step 6: Final answer
    x = 180,399.38

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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.