Home / 505,527,507.10-758,291,260.65-413,694,502.30

Finding the Fourth Proportional to 505,527,507.10, 758,291,260.65 and 413,694,502.30

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Solution

The fourth proportional to 505,527,507.10, 758,291,260.65 and 413,694,502.30 is: 620,541,753.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,527,507.10 : 758,291,260.65 = 413,694,502.30 : x
  2. Step 2: Convert to fraction form
    505,527,507.10/758,291,260.65 = 413,694,502.30/x
  3. Step 3: Cross multiply
    505,527,507.10x = 758,291,260.65 × 413,694,502.30
  4. Step 4: Simplify right side
    505,527,507.10x = 313,700,925,673,041,344
  5. Step 5: Solve for x
    x = 313,700,925,673,041,344/505,527,507.10
  6. Step 6: Final answer
    x = 620,541,753.45

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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.