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Finding the Fourth Proportional to 255,189, 382,654.80 and 148,607.40

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Solution

The fourth proportional to 255,189, 382,654.80 and 148,607.40 is: 222,836.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,189 : 382,654.80 = 148,607.40 : x
  2. Step 2: Convert to fraction form
    255,189/382,654.80 = 148,607.40/x
  3. Step 3: Cross multiply
    255,189x = 382,654.80 × 148,607.40
  4. Step 4: Simplify right side
    255,189x = 56,865,334,925.52
  5. Step 5: Solve for x
    x = 56,865,334,925.52/255,189
  6. Step 6: Final answer
    x = 222,836.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.