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Finding the Fourth Proportional to 357,186.87, 535,407.71 and 120,448.17

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Solution

The fourth proportional to 357,186.87, 535,407.71 and 120,448.17 is: 180,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,186.87 : 535,407.71 = 120,448.17 : x
  2. Step 2: Convert to fraction form
    357,186.87/535,407.71 = 120,448.17/x
  3. Step 3: Cross multiply
    357,186.87x = 535,407.71 × 120,448.17
  4. Step 4: Simplify right side
    357,186.87x = 64,488,878,271.15
  5. Step 5: Solve for x
    x = 64,488,878,271.15/357,186.87
  6. Step 6: Final answer
    x = 180,546.61

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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.