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Finding the Fourth Proportional to 390,153.59, 585,230.38 and 109,670.84

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Solution

The fourth proportional to 390,153.59, 585,230.38 and 109,670.84 is: 164,506.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,153.59 : 585,230.38 = 109,670.84 : x
  2. Step 2: Convert to fraction form
    390,153.59/585,230.38 = 109,670.84/x
  3. Step 3: Cross multiply
    390,153.59x = 585,230.38 × 109,670.84
  4. Step 4: Simplify right side
    390,153.59x = 64,182,704,870.67
  5. Step 5: Solve for x
    x = 64,182,704,870.67/390,153.59
  6. Step 6: Final answer
    x = 164,506.25

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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.