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Finding the Fourth Proportional to 355,015.20, 532,328.40 and 144,415.20

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Solution

The fourth proportional to 355,015.20, 532,328.40 and 144,415.20 is: 216,543.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,015.20 : 532,328.40 = 144,415.20 : x
  2. Step 2: Convert to fraction form
    355,015.20/532,328.40 = 144,415.20/x
  3. Step 3: Cross multiply
    355,015.20x = 532,328.40 × 144,415.20
  4. Step 4: Simplify right side
    355,015.20x = 76,876,312,351.68
  5. Step 5: Solve for x
    x = 76,876,312,351.68/355,015.20
  6. Step 6: Final answer
    x = 216,543.72

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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.