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Finding the Fourth Proportional to 390,205.63, 585,039.51 and 153,575.47

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Solution

The fourth proportional to 390,205.63, 585,039.51 and 153,575.47 is: 230,257.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,205.63 : 585,039.51 = 153,575.47 : x
  2. Step 2: Convert to fraction form
    390,205.63/585,039.51 = 153,575.47/x
  3. Step 3: Cross multiply
    390,205.63x = 585,039.51 × 153,575.47
  4. Step 4: Simplify right side
    390,205.63x = 89,847,717,716.82
  5. Step 5: Solve for x
    x = 89,847,717,716.82/390,205.63
  6. Step 6: Final answer
    x = 230,257.36

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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.