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Finding the Fourth Proportional to 255,654.60, 352,804.80 and 148,288.32

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Solution

The fourth proportional to 255,654.60, 352,804.80 and 148,288.32 is: 204,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,654.60 : 352,804.80 = 148,288.32 : x
  2. Step 2: Convert to fraction form
    255,654.60/352,804.80 = 148,288.32/x
  3. Step 3: Cross multiply
    255,654.60x = 352,804.80 × 148,288.32
  4. Step 4: Simplify right side
    255,654.60x = 52,316,831,079.94
  5. Step 5: Solve for x
    x = 52,316,831,079.94/255,654.60
  6. Step 6: Final answer
    x = 204,638.72

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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.