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Finding the Fourth Proportional to 390,104.84, 585,326.32 and 137,565.79

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Solution

The fourth proportional to 390,104.84, 585,326.32 and 137,565.79 is: 206,408.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,104.84 : 585,326.32 = 137,565.79 : x
  2. Step 2: Convert to fraction form
    390,104.84/585,326.32 = 137,565.79/x
  3. Step 3: Cross multiply
    390,104.84x = 585,326.32 × 137,565.79
  4. Step 4: Simplify right side
    390,104.84x = 80,520,875,811.36
  5. Step 5: Solve for x
    x = 80,520,875,811.36/390,104.84
  6. Step 6: Final answer
    x = 206,408.30

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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.