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Finding the Fourth Proportional to 355,281.10, 532,921.65 and 256,137.10

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Solution

The fourth proportional to 355,281.10, 532,921.65 and 256,137.10 is: 384,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,281.10 : 532,921.65 = 256,137.10 : x
  2. Step 2: Convert to fraction form
    355,281.10/532,921.65 = 256,137.10/x
  3. Step 3: Cross multiply
    355,281.10x = 532,921.65 × 256,137.10
  4. Step 4: Simplify right side
    355,281.10x = 136,501,005,958.22
  5. Step 5: Solve for x
    x = 136,501,005,958.22/355,281.10
  6. Step 6: Final answer
    x = 384,205.65

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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.