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Finding the Fourth Proportional to 542,284,990.52, 748,435,089.60 and 330,714,564.08

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Solution

The fourth proportional to 542,284,990.52, 748,435,089.60 and 330,714,564.08 is: 456,435,986.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,284,990.52 : 748,435,089.60 = 330,714,564.08 : x
  2. Step 2: Convert to fraction form
    542,284,990.52/748,435,089.60 = 330,714,564.08/x
  3. Step 3: Cross multiply
    542,284,990.52x = 748,435,089.60 × 330,714,564.08
  4. Step 4: Simplify right side
    542,284,990.52x = 247,518,384,399,239,744
  5. Step 5: Solve for x
    x = 247,518,384,399,239,744/542,284,990.52
  6. Step 6: Final answer
    x = 456,435,986.11

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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.