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Finding the Fourth Proportional to 390,155.81, 585,233.69 and 109,673.06

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Solution

The fourth proportional to 390,155.81, 585,233.69 and 109,673.06 is: 164,509.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,155.81 : 585,233.69 = 109,673.06 : x
  2. Step 2: Convert to fraction form
    390,155.81/585,233.69 = 109,673.06/x
  3. Step 3: Cross multiply
    390,155.81x = 585,233.69 × 109,673.06
  4. Step 4: Simplify right side
    390,155.81x = 64,184,366,122.86
  5. Step 5: Solve for x
    x = 64,184,366,122.86/390,155.81
  6. Step 6: Final answer
    x = 164,509.58

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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.