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Finding the Fourth Proportional to 435,762.60, 653,681.56 and 120,219.51

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Solution

The fourth proportional to 435,762.60, 653,681.56 and 120,219.51 is: 180,339.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,762.60 : 653,681.56 = 120,219.51 : x
  2. Step 2: Convert to fraction form
    435,762.60/653,681.56 = 120,219.51/x
  3. Step 3: Cross multiply
    435,762.60x = 653,681.56 × 120,219.51
  4. Step 4: Simplify right side
    435,762.60x = 78,585,276,989.51
  5. Step 5: Solve for x
    x = 78,585,276,989.51/435,762.60
  6. Step 6: Final answer
    x = 180,339.65

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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.