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Finding the Fourth Proportional to 340,992,875.20, 511,489,312.80 and 340,992,875.20

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Solution

The fourth proportional to 340,992,875.20, 511,489,312.80 and 340,992,875.20 is: 511,489,312.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,992,875.20 : 511,489,312.80 = 340,992,875.20 : x
  2. Step 2: Convert to fraction form
    340,992,875.20/511,489,312.80 = 340,992,875.20/x
  3. Step 3: Cross multiply
    340,992,875.20x = 511,489,312.80 × 340,992,875.20
  4. Step 4: Simplify right side
    340,992,875.20x = 174,414,211,405,744,160
  5. Step 5: Solve for x
    x = 174,414,211,405,744,160/340,992,875.20
  6. Step 6: Final answer
    x = 511,489,312.80

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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.