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Finding the Fourth Proportional to 1,342,865,430, 2,014,205,688.36 and 825,375,740.40

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Solution

The fourth proportional to 1,342,865,430, 2,014,205,688.36 and 825,375,740.40 is: 1,238,006,783.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342,865,430 : 2,014,205,688.36 = 825,375,740.40 : x
  2. Step 2: Convert to fraction form
    1,342,865,430/2,014,205,688.36 = 825,375,740.40/x
  3. Step 3: Cross multiply
    1,342,865,430x = 2,014,205,688.36 × 825,375,740.40
  4. Step 4: Simplify right side
    1,342,865,430x = 1,662,476,511,348,026,624
  5. Step 5: Solve for x
    x = 1,662,476,511,348,026,624/1,342,865,430
  6. Step 6: Final answer
    x = 1,238,006,783.26

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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.