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Finding the Fourth Proportional to 384,374.60, 575,784.30 and 217,968.20

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Solution

The fourth proportional to 384,374.60, 575,784.30 and 217,968.20 is: 326,511.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,374.60 : 575,784.30 = 217,968.20 : x
  2. Step 2: Convert to fraction form
    384,374.60/575,784.30 = 217,968.20/x
  3. Step 3: Cross multiply
    384,374.60x = 575,784.30 × 217,968.20
  4. Step 4: Simplify right side
    384,374.60x = 125,502,667,459.26
  5. Step 5: Solve for x
    x = 125,502,667,459.26/384,374.60
  6. Step 6: Final answer
    x = 326,511.34

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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.