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Finding the Fourth Proportional to 320,710.71, 442,550.75 and 191,623.49

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Solution

The fourth proportional to 320,710.71, 442,550.75 and 191,623.49 is: 264,422.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,710.71 : 442,550.75 = 191,623.49 : x
  2. Step 2: Convert to fraction form
    320,710.71/442,550.75 = 191,623.49/x
  3. Step 3: Cross multiply
    320,710.71x = 442,550.75 × 191,623.49
  4. Step 4: Simplify right side
    320,710.71x = 84,803,117,705.81
  5. Step 5: Solve for x
    x = 84,803,117,705.81/320,710.71
  6. Step 6: Final answer
    x = 264,422.47

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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.