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Finding the Fourth Proportional to 522,720.64, 721,088.83 and 341,538.63

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Solution

The fourth proportional to 522,720.64, 721,088.83 and 341,538.63 is: 471,149.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,720.64 : 721,088.83 = 341,538.63 : x
  2. Step 2: Convert to fraction form
    522,720.64/721,088.83 = 341,538.63/x
  3. Step 3: Cross multiply
    522,720.64x = 721,088.83 × 341,538.63
  4. Step 4: Simplify right side
    522,720.64x = 246,279,691,106.50
  5. Step 5: Solve for x
    x = 246,279,691,106.50/522,720.64
  6. Step 6: Final answer
    x = 471,149.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.