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Finding the Fourth Proportional to 345,762.45, 476,946.56 and 269,160.30

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Solution

The fourth proportional to 345,762.45, 476,946.56 and 269,160.30 is: 371,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,762.45 : 476,946.56 = 269,160.30 : x
  2. Step 2: Convert to fraction form
    345,762.45/476,946.56 = 269,160.30/x
  3. Step 3: Cross multiply
    345,762.45x = 476,946.56 × 269,160.30
  4. Step 4: Simplify right side
    345,762.45x = 128,375,077,827.77
  5. Step 5: Solve for x
    x = 128,375,077,827.77/345,762.45
  6. Step 6: Final answer
    x = 371,281.14

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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.