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Finding the Fourth Proportional to 407,186.40, 610,978.32 and 288,009.08

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Solution

The fourth proportional to 407,186.40, 610,978.32 and 288,009.08 is: 432,154.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,186.40 : 610,978.32 = 288,009.08 : x
  2. Step 2: Convert to fraction form
    407,186.40/610,978.32 = 288,009.08/x
  3. Step 3: Cross multiply
    407,186.40x = 610,978.32 × 288,009.08
  4. Step 4: Simplify right side
    407,186.40x = 175,967,300,788.25
  5. Step 5: Solve for x
    x = 175,967,300,788.25/407,186.40
  6. Step 6: Final answer
    x = 432,154.17

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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.