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Finding the Fourth Proportional to 517,701,306, 713,954,643.96 and 404,685,728.76

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Solution

The fourth proportional to 517,701,306, 713,954,643.96 and 404,685,728.76 is: 558,096,439.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,701,306 : 713,954,643.96 = 404,685,728.76 : x
  2. Step 2: Convert to fraction form
    517,701,306/713,954,643.96 = 404,685,728.76/x
  3. Step 3: Cross multiply
    517,701,306x = 713,954,643.96 × 404,685,728.76
  4. Step 4: Simplify right side
    517,701,306x = 288,927,255,392,538,944
  5. Step 5: Solve for x
    x = 288,927,255,392,538,944/517,701,306
  6. Step 6: Final answer
    x = 558,096,439.09

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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.