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Finding the Fourth Proportional to 781,662,435.74, 1,172,531,360.22 and 257,019,922.07

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Solution

The fourth proportional to 781,662,435.74, 1,172,531,360.22 and 257,019,922.07 is: 385,542,281.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,662,435.74 : 1,172,531,360.22 = 257,019,922.07 : x
  2. Step 2: Convert to fraction form
    781,662,435.74/1,172,531,360.22 = 257,019,922.07/x
  3. Step 3: Cross multiply
    781,662,435.74x = 1,172,531,360.22 × 257,019,922.07
  4. Step 4: Simplify right side
    781,662,435.74x = 301,363,918,828,375,488
  5. Step 5: Solve for x
    x = 301,363,918,828,375,488/781,662,435.74
  6. Step 6: Final answer
    x = 385,542,281.49

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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.