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Finding the Fourth Proportional to 390,298.92, 585,645.12 and 153,811.32

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Solution

The fourth proportional to 390,298.92, 585,645.12 and 153,811.32 is: 230,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,298.92 : 585,645.12 = 153,811.32 : x
  2. Step 2: Convert to fraction form
    390,298.92/585,645.12 = 153,811.32/x
  3. Step 3: Cross multiply
    390,298.92x = 585,645.12 × 153,811.32
  4. Step 4: Simplify right side
    390,298.92x = 90,078,848,958.76
  5. Step 5: Solve for x
    x = 90,078,848,958.76/390,298.92
  6. Step 6: Final answer
    x = 230,794.51

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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.