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Finding the Fourth Proportional to 405,547.48, 608,321.76 and 165,661.39

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Solution

The fourth proportional to 405,547.48, 608,321.76 and 165,661.39 is: 248,492.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,547.48 : 608,321.76 = 165,661.39 : x
  2. Step 2: Convert to fraction form
    405,547.48/608,321.76 = 165,661.39/x
  3. Step 3: Cross multiply
    405,547.48x = 608,321.76 × 165,661.39
  4. Step 4: Simplify right side
    405,547.48x = 100,775,428,328.85
  5. Step 5: Solve for x
    x = 100,775,428,328.85/405,547.48
  6. Step 6: Final answer
    x = 248,492.31

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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.