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Finding the Fourth Proportional to 407,185.40, 610,976.82 and 288,008.08

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Solution

The fourth proportional to 407,185.40, 610,976.82 and 288,008.08 is: 432,152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,185.40 : 610,976.82 = 288,008.08 : x
  2. Step 2: Convert to fraction form
    407,185.40/610,976.82 = 288,008.08/x
  3. Step 3: Cross multiply
    407,185.40x = 610,976.82 × 288,008.08
  4. Step 4: Simplify right side
    407,185.40x = 175,966,260,852.71
  5. Step 5: Solve for x
    x = 175,966,260,852.71/407,185.40
  6. Step 6: Final answer
    x = 432,152.68

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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.