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Finding the Fourth Proportional to 390,155.80, 585,233.68 and 109,673.05

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Solution

The fourth proportional to 390,155.80, 585,233.68 and 109,673.05 is: 164,509.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,155.80 : 585,233.68 = 109,673.05 : x
  2. Step 2: Convert to fraction form
    390,155.80/585,233.68 = 109,673.05/x
  3. Step 3: Cross multiply
    390,155.80x = 585,233.68 × 109,673.05
  4. Step 4: Simplify right side
    390,155.80x = 64,184,362,648.32
  5. Step 5: Solve for x
    x = 64,184,362,648.32/390,155.80
  6. Step 6: Final answer
    x = 164,509.57

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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.