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Finding the Fourth Proportional to 409,988,819.04, 565,095,031.92 and 310,836,732

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Solution

The fourth proportional to 409,988,819.04, 565,095,031.92 and 310,836,732 is: 428,431,910.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,988,819.04 : 565,095,031.92 = 310,836,732 : x
  2. Step 2: Convert to fraction form
    409,988,819.04/565,095,031.92 = 310,836,732/x
  3. Step 3: Cross multiply
    409,988,819.04x = 565,095,031.92 × 310,836,732
  4. Step 4: Simplify right side
    409,988,819.04x = 175,652,292,991,448,480
  5. Step 5: Solve for x
    x = 175,652,292,991,448,480/409,988,819.04
  6. Step 6: Final answer
    x = 428,431,910.42

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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.