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Finding the Fourth Proportional to 407,721.40, 611,582.10 and 239,322.40

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Solution

The fourth proportional to 407,721.40, 611,582.10 and 239,322.40 is: 358,983.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,721.40 : 611,582.10 = 239,322.40 : x
  2. Step 2: Convert to fraction form
    407,721.40/611,582.10 = 239,322.40/x
  3. Step 3: Cross multiply
    407,721.40x = 611,582.10 × 239,322.40
  4. Step 4: Simplify right side
    407,721.40x = 146,365,295,969.04
  5. Step 5: Solve for x
    x = 146,365,295,969.04/407,721.40
  6. Step 6: Final answer
    x = 358,983.60

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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.