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Finding the Fourth Proportional to 434,386.92, 599,098.52 and 305,751.22

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Solution

The fourth proportional to 434,386.92, 599,098.52 and 305,751.22 is: 421,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,386.92 : 599,098.52 = 305,751.22 : x
  2. Step 2: Convert to fraction form
    434,386.92/599,098.52 = 305,751.22/x
  3. Step 3: Cross multiply
    434,386.92x = 599,098.52 × 305,751.22
  4. Step 4: Simplify right side
    434,386.92x = 183,175,103,390.19
  5. Step 5: Solve for x
    x = 183,175,103,390.19/434,386.92
  6. Step 6: Final answer
    x = 421,686.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.