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Finding the Fourth Proportional to 390,797.76, 585,802.80 and 154,048.80

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Solution

The fourth proportional to 390,797.76, 585,802.80 and 154,048.80 is: 230,917.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,797.76 : 585,802.80 = 154,048.80 : x
  2. Step 2: Convert to fraction form
    390,797.76/585,802.80 = 154,048.80/x
  3. Step 3: Cross multiply
    390,797.76x = 585,802.80 × 154,048.80
  4. Step 4: Simplify right side
    390,797.76x = 90,242,218,376.64
  5. Step 5: Solve for x
    x = 90,242,218,376.64/390,797.76
  6. Step 6: Final answer
    x = 230,917.95

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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.