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Finding the Fourth Proportional to 320,390.64, 442,154.52 and 177,148.08

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Solution

The fourth proportional to 320,390.64, 442,154.52 and 177,148.08 is: 244,472.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,390.64 : 442,154.52 = 177,148.08 : x
  2. Step 2: Convert to fraction form
    320,390.64/442,154.52 = 177,148.08/x
  3. Step 3: Cross multiply
    320,390.64x = 442,154.52 × 177,148.08
  4. Step 4: Simplify right side
    320,390.64x = 78,326,824,281.32
  5. Step 5: Solve for x
    x = 78,326,824,281.32/320,390.64
  6. Step 6: Final answer
    x = 244,472.89

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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.