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Finding the Fourth Proportional to 589,259.81, 813,178.54 and 320,987.81

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Solution

The fourth proportional to 589,259.81, 813,178.54 and 320,987.81 is: 442,963.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,259.81 : 813,178.54 = 320,987.81 : x
  2. Step 2: Convert to fraction form
    589,259.81/813,178.54 = 320,987.81/x
  3. Step 3: Cross multiply
    589,259.81x = 813,178.54 × 320,987.81
  4. Step 4: Simplify right side
    589,259.81x = 261,020,401,127.78
  5. Step 5: Solve for x
    x = 261,020,401,127.78/589,259.81
  6. Step 6: Final answer
    x = 442,963.18

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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.