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Finding the Fourth Proportional to 319,509.73, 440,920.97 and 176,275.81

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Solution

The fourth proportional to 319,509.73, 440,920.97 and 176,275.81 is: 243,259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,509.73 : 440,920.97 = 176,275.81 : x
  2. Step 2: Convert to fraction form
    319,509.73/440,920.97 = 176,275.81/x
  3. Step 3: Cross multiply
    319,509.73x = 440,920.97 × 176,275.81
  4. Step 4: Simplify right side
    319,509.73x = 77,723,700,251.36
  5. Step 5: Solve for x
    x = 77,723,700,251.36/319,509.73
  6. Step 6: Final answer
    x = 243,259.26

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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.