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Finding the Fourth Proportional to 300,298, 414,417.72 and 172,953.04

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Solution

The fourth proportional to 300,298, 414,417.72 and 172,953.04 is: 238,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,298 : 414,417.72 = 172,953.04 : x
  2. Step 2: Convert to fraction form
    300,298/414,417.72 = 172,953.04/x
  3. Step 3: Cross multiply
    300,298x = 414,417.72 × 172,953.04
  4. Step 4: Simplify right side
    300,298x = 71,674,804,503.87
  5. Step 5: Solve for x
    x = 71,674,804,503.87/300,298
  6. Step 6: Final answer
    x = 238,678.93

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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.