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Finding the Fourth Proportional to 257,296.32, 355,242.21 and 160,647.32

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Solution

The fourth proportional to 257,296.32, 355,242.21 and 160,647.32 is: 221,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,296.32 : 355,242.21 = 160,647.32 : x
  2. Step 2: Convert to fraction form
    257,296.32/355,242.21 = 160,647.32/x
  3. Step 3: Cross multiply
    257,296.32x = 355,242.21 × 160,647.32
  4. Step 4: Simplify right side
    257,296.32x = 57,068,708,987.38
  5. Step 5: Solve for x
    x = 57,068,708,987.38/257,296.32
  6. Step 6: Final answer
    x = 221,801.50

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1.5x scale

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.