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Finding the Fourth Proportional to 345,772.92, 476,898.32 and 307,051.48

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Solution

The fourth proportional to 345,772.92, 476,898.32 and 307,051.48 is: 423,492.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,772.92 : 476,898.32 = 307,051.48 : x
  2. Step 2: Convert to fraction form
    345,772.92/476,898.32 = 307,051.48/x
  3. Step 3: Cross multiply
    345,772.92x = 476,898.32 × 307,051.48
  4. Step 4: Simplify right side
    345,772.92x = 146,432,334,965.51
  5. Step 5: Solve for x
    x = 146,432,334,965.51/345,772.92
  6. Step 6: Final answer
    x = 423,492.78

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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.