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Finding the Fourth Proportional to 390,831.36, 586,237.32 and 110,344.56

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Solution

The fourth proportional to 390,831.36, 586,237.32 and 110,344.56 is: 165,514.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,831.36 : 586,237.32 = 110,344.56 : x
  2. Step 2: Convert to fraction form
    390,831.36/586,237.32 = 110,344.56/x
  3. Step 3: Cross multiply
    390,831.36x = 586,237.32 × 110,344.56
  4. Step 4: Simplify right side
    390,831.36x = 64,688,099,130.98
  5. Step 5: Solve for x
    x = 64,688,099,130.98/390,831.36
  6. Step 6: Final answer
    x = 165,514.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.