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Finding the Fourth Proportional to 559,704.51, 772,101.24 and 355,405.90

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Solution

The fourth proportional to 559,704.51, 772,101.24 and 355,405.90 is: 490,275.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,704.51 : 772,101.24 = 355,405.90 : x
  2. Step 2: Convert to fraction form
    559,704.51/772,101.24 = 355,405.90/x
  3. Step 3: Cross multiply
    559,704.51x = 772,101.24 × 355,405.90
  4. Step 4: Simplify right side
    559,704.51x = 274,409,336,093.32
  5. Step 5: Solve for x
    x = 274,409,336,093.32/559,704.51
  6. Step 6: Final answer
    x = 490,275.37

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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.