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Finding the Fourth Proportional to 390,029.77, 585,260.54 and 190,351.81

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Solution

The fourth proportional to 390,029.77, 585,260.54 and 190,351.81 is: 285,633.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,029.77 : 585,260.54 = 190,351.81 : x
  2. Step 2: Convert to fraction form
    390,029.77/585,260.54 = 190,351.81/x
  3. Step 3: Cross multiply
    390,029.77x = 585,260.54 × 190,351.81
  4. Step 4: Simplify right side
    390,029.77x = 111,405,402,158.82
  5. Step 5: Solve for x
    x = 111,405,402,158.82/390,029.77
  6. Step 6: Final answer
    x = 285,633.07

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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.