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Finding the Fourth Proportional to 255,637.60, 383,456.40 and 238,141.60

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Solution

The fourth proportional to 255,637.60, 383,456.40 and 238,141.60 is: 357,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,637.60 : 383,456.40 = 238,141.60 : x
  2. Step 2: Convert to fraction form
    255,637.60/383,456.40 = 238,141.60/x
  3. Step 3: Cross multiply
    255,637.60x = 383,456.40 × 238,141.60
  4. Step 4: Simplify right side
    255,637.60x = 91,316,920,626.24
  5. Step 5: Solve for x
    x = 91,316,920,626.24/255,637.60
  6. Step 6: Final answer
    x = 357,212.40

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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.