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Finding the Fourth Proportional to 407,495.65, 611,243.46 and 154,775.51

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Solution

The fourth proportional to 407,495.65, 611,243.46 and 154,775.51 is: 232,163.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,495.65 : 611,243.46 = 154,775.51 : x
  2. Step 2: Convert to fraction form
    407,495.65/611,243.46 = 154,775.51/x
  3. Step 3: Cross multiply
    407,495.65x = 611,243.46 × 154,775.51
  4. Step 4: Simplify right side
    407,495.65x = 94,605,518,255.66
  5. Step 5: Solve for x
    x = 94,605,518,255.66/407,495.65
  6. Step 6: Final answer
    x = 232,163.26

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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.