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Finding the Fourth Proportional to 355,835.64, 533,750.37 and 145,325.82

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Solution

The fourth proportional to 355,835.64, 533,750.37 and 145,325.82 is: 217,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,835.64 : 533,750.37 = 145,325.82 : x
  2. Step 2: Convert to fraction form
    355,835.64/533,750.37 = 145,325.82/x
  3. Step 3: Cross multiply
    355,835.64x = 533,750.37 × 145,325.82
  4. Step 4: Simplify right side
    355,835.64x = 77,567,710,195.55
  5. Step 5: Solve for x
    x = 77,567,710,195.55/355,835.64
  6. Step 6: Final answer
    x = 217,987.47

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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.