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Finding the Fourth Proportional to 407,176.36, 610,764.54 and 126,637.72

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Solution

The fourth proportional to 407,176.36, 610,764.54 and 126,637.72 is: 189,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,176.36 : 610,764.54 = 126,637.72 : x
  2. Step 2: Convert to fraction form
    407,176.36/610,764.54 = 126,637.72/x
  3. Step 3: Cross multiply
    407,176.36x = 610,764.54 × 126,637.72
  4. Step 4: Simplify right side
    407,176.36x = 77,345,828,802.45
  5. Step 5: Solve for x
    x = 77,345,828,802.45/407,176.36
  6. Step 6: Final answer
    x = 189,956.58

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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.