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Finding the Fourth Proportional to 505,367,201.60, 758,617,672.80 and 390,859,380.80

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Solution

The fourth proportional to 505,367,201.60, 758,617,672.80 and 390,859,380.80 is: 586,727,498.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,367,201.60 : 758,617,672.80 = 390,859,380.80 : x
  2. Step 2: Convert to fraction form
    505,367,201.60/758,617,672.80 = 390,859,380.80/x
  3. Step 3: Cross multiply
    505,367,201.60x = 758,617,672.80 × 390,859,380.80
  4. Step 4: Simplify right side
    505,367,201.60x = 296,512,833,854,545,024
  5. Step 5: Solve for x
    x = 296,512,833,854,545,024/505,367,201.60
  6. Step 6: Final answer
    x = 586,727,498.18

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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.