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Finding the Fourth Proportional to 781,662,228.78, 1,172,531,052.64 and 257,019,715.46

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Solution

The fourth proportional to 781,662,228.78, 1,172,531,052.64 and 257,019,715.46 is: 385,541,972.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    781,662,228.78 : 1,172,531,052.64 = 257,019,715.46 : x
  2. Step 2: Convert to fraction form
    781,662,228.78/1,172,531,052.64 = 257,019,715.46/x
  3. Step 3: Cross multiply
    781,662,228.78x = 1,172,531,052.64 × 257,019,715.46
  4. Step 4: Simplify right side
    781,662,228.78x = 301,363,597,517,547,136
  5. Step 5: Solve for x
    x = 301,363,597,517,547,136/781,662,228.78
  6. Step 6: Final answer
    x = 385,541,972.51

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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.