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Finding the Fourth Proportional to 390,831.84, 586,181.52 and 110,283.36

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Solution

The fourth proportional to 390,831.84, 586,181.52 and 110,283.36 is: 165,406.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,831.84 : 586,181.52 = 110,283.36 : x
  2. Step 2: Convert to fraction form
    390,831.84/586,181.52 = 110,283.36/x
  3. Step 3: Cross multiply
    390,831.84x = 586,181.52 × 110,283.36
  4. Step 4: Simplify right side
    390,831.84x = 64,646,067,595.51
  5. Step 5: Solve for x
    x = 64,646,067,595.51/390,831.84
  6. Step 6: Final answer
    x = 165,406.35

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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.