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Finding the Fourth Proportional to 355,813.47, 533,720.71 and 145,451.41

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Solution

The fourth proportional to 355,813.47, 533,720.71 and 145,451.41 is: 218,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,813.47 : 533,720.71 = 145,451.41 : x
  2. Step 2: Convert to fraction form
    355,813.47/533,720.71 = 145,451.41/x
  3. Step 3: Cross multiply
    355,813.47x = 533,720.71 × 145,451.41
  4. Step 4: Simplify right side
    355,813.47x = 77,630,430,664.67
  5. Step 5: Solve for x
    x = 77,630,430,664.67/355,813.47
  6. Step 6: Final answer
    x = 218,177.32

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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.