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Finding the Fourth Proportional to 402,831.36, 555,978.33 and 230,758.20

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Solution

The fourth proportional to 402,831.36, 555,978.33 and 230,758.20 is: 318,487.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,831.36 : 555,978.33 = 230,758.20 : x
  2. Step 2: Convert to fraction form
    402,831.36/555,978.33 = 230,758.20/x
  3. Step 3: Cross multiply
    402,831.36x = 555,978.33 × 230,758.20
  4. Step 4: Simplify right side
    402,831.36x = 128,296,558,669.81
  5. Step 5: Solve for x
    x = 128,296,558,669.81/402,831.36
  6. Step 6: Final answer
    x = 318,487.02

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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.