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Finding the Fourth Proportional to 518,791,489.77, 715,861,548.78 and 309,903,290.31

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Solution

The fourth proportional to 518,791,489.77, 715,861,548.78 and 309,903,290.31 is: 427,624,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,791,489.77 : 715,861,548.78 = 309,903,290.31 : x
  2. Step 2: Convert to fraction form
    518,791,489.77/715,861,548.78 = 309,903,290.31/x
  3. Step 3: Cross multiply
    518,791,489.77x = 715,861,548.78 × 309,903,290.31
  4. Step 4: Simplify right side
    518,791,489.77x = 221,847,849,373,334,560
  5. Step 5: Solve for x
    x = 221,847,849,373,334,560/518,791,489.77
  6. Step 6: Final answer
    x = 427,624,303.30

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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.