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Finding the Fourth Proportional to 390,198.60, 585,152.10 and 153,492.30

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Solution

The fourth proportional to 390,198.60, 585,152.10 and 153,492.30 is: 230,181.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,198.60 : 585,152.10 = 153,492.30 : x
  2. Step 2: Convert to fraction form
    390,198.60/585,152.10 = 153,492.30/x
  3. Step 3: Cross multiply
    390,198.60x = 585,152.10 × 153,492.30
  4. Step 4: Simplify right side
    390,198.60x = 89,816,341,678.83
  5. Step 5: Solve for x
    x = 89,816,341,678.83/390,198.60
  6. Step 6: Final answer
    x = 230,181.10

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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.