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Finding the Fourth Proportional to 390,201.60, 585,302.40 and 301,628.10

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Solution

The fourth proportional to 390,201.60, 585,302.40 and 301,628.10 is: 452,442.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,201.60 : 585,302.40 = 301,628.10 : x
  2. Step 2: Convert to fraction form
    390,201.60/585,302.40 = 301,628.10/x
  3. Step 3: Cross multiply
    390,201.60x = 585,302.40 × 301,628.10
  4. Step 4: Simplify right side
    390,201.60x = 176,543,650,837.44
  5. Step 5: Solve for x
    x = 176,543,650,837.44/390,201.60
  6. Step 6: Final answer
    x = 452,442.15

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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.