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Finding the Fourth Proportional to 255,511.32, 352,602.77 and 145,129.17

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Solution

The fourth proportional to 255,511.32, 352,602.77 and 145,129.17 is: 200,276.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,511.32 : 352,602.77 = 145,129.17 : x
  2. Step 2: Convert to fraction form
    255,511.32/352,602.77 = 145,129.17/x
  3. Step 3: Cross multiply
    255,511.32x = 352,602.77 × 145,129.17
  4. Step 4: Simplify right side
    255,511.32x = 51,172,946,624.16
  5. Step 5: Solve for x
    x = 51,172,946,624.16/255,511.32
  6. Step 6: Final answer
    x = 200,276.63

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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.