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Finding the Fourth Proportional to 542,570,672.70, 813,856,009.05 and 517,628,375.10

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Solution

The fourth proportional to 542,570,672.70, 813,856,009.05 and 517,628,375.10 is: 776,442,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,570,672.70 : 813,856,009.05 = 517,628,375.10 : x
  2. Step 2: Convert to fraction form
    542,570,672.70/813,856,009.05 = 517,628,375.10/x
  3. Step 3: Cross multiply
    542,570,672.70x = 813,856,009.05 × 517,628,375.10
  4. Step 4: Simplify right side
    542,570,672.70x = 421,274,963,529,922,368
  5. Step 5: Solve for x
    x = 421,274,963,529,922,368/542,570,672.70
  6. Step 6: Final answer
    x = 776,442,562.65

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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.