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Finding the Fourth Proportional to 257,295.32, 355,240.83 and 160,646.32

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Solution

The fourth proportional to 257,295.32, 355,240.83 and 160,646.32 is: 221,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,295.32 : 355,240.83 = 160,646.32 : x
  2. Step 2: Convert to fraction form
    257,295.32/355,240.83 = 160,646.32/x
  3. Step 3: Cross multiply
    257,295.32x = 355,240.83 × 160,646.32
  4. Step 4: Simplify right side
    257,295.32x = 57,068,132,053.25
  5. Step 5: Solve for x
    x = 57,068,132,053.25/257,295.32
  6. Step 6: Final answer
    x = 221,800.12

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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.