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Finding the Fourth Proportional to 320,857.50, 442,899.99 and 186,721.50

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Solution

The fourth proportional to 320,857.50, 442,899.99 and 186,721.50 is: 257,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,857.50 : 442,899.99 = 186,721.50 : x
  2. Step 2: Convert to fraction form
    320,857.50/442,899.99 = 186,721.50/x
  3. Step 3: Cross multiply
    320,857.50x = 442,899.99 × 186,721.50
  4. Step 4: Simplify right side
    320,857.50x = 82,698,950,482.79
  5. Step 5: Solve for x
    x = 82,698,950,482.79/320,857.50
  6. Step 6: Final answer
    x = 257,743.55

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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.