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Finding the Fourth Proportional to 320,807.96, 442,668.65 and 177,567.66

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Solution

The fourth proportional to 320,807.96, 442,668.65 and 177,567.66 is: 245,017.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,807.96 : 442,668.65 = 177,567.66 : x
  2. Step 2: Convert to fraction form
    320,807.96/442,668.65 = 177,567.66/x
  3. Step 3: Cross multiply
    320,807.96x = 442,668.65 × 177,567.66
  4. Step 4: Simplify right side
    320,807.96x = 78,603,636,554.69
  5. Step 5: Solve for x
    x = 78,603,636,554.69/320,807.96
  6. Step 6: Final answer
    x = 245,017.72

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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.