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Finding the Fourth Proportional to 390,492.80, 585,566.40 and 180,195.20

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Solution

The fourth proportional to 390,492.80, 585,566.40 and 180,195.20 is: 270,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,492.80 : 585,566.40 = 180,195.20 : x
  2. Step 2: Convert to fraction form
    390,492.80/585,566.40 = 180,195.20/x
  3. Step 3: Cross multiply
    390,492.80x = 585,566.40 × 180,195.20
  4. Step 4: Simplify right side
    390,492.80x = 105,516,254,561.28
  5. Step 5: Solve for x
    x = 105,516,254,561.28/390,492.80
  6. Step 6: Final answer
    x = 270,213.06

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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.