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Finding the Fourth Proportional to 391,175,401.80, 586,763,102.70 and 385,128,784.20

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Solution

The fourth proportional to 391,175,401.80, 586,763,102.70 and 385,128,784.20 is: 577,693,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,175,401.80 : 586,763,102.70 = 385,128,784.20 : x
  2. Step 2: Convert to fraction form
    391,175,401.80/586,763,102.70 = 385,128,784.20/x
  3. Step 3: Cross multiply
    391,175,401.80x = 586,763,102.70 × 385,128,784.20
  4. Step 4: Simplify right side
    391,175,401.80x = 225,979,360,356,270,752
  5. Step 5: Solve for x
    x = 225,979,360,356,270,752/391,175,401.80
  6. Step 6: Final answer
    x = 577,693,176.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.