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Finding the Fourth Proportional to 255,407.32, 352,465.86 and 147,985.12

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Solution

The fourth proportional to 255,407.32, 352,465.86 and 147,985.12 is: 204,221.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,407.32 : 352,465.86 = 147,985.12 : x
  2. Step 2: Convert to fraction form
    255,407.32/352,465.86 = 147,985.12/x
  3. Step 3: Cross multiply
    255,407.32x = 352,465.86 × 147,985.12
  4. Step 4: Simplify right side
    255,407.32x = 52,159,702,588.00
  5. Step 5: Solve for x
    x = 52,159,702,588.00/255,407.32
  6. Step 6: Final answer
    x = 204,221.64

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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.