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Finding the Fourth Proportional to 547,955,148.64, 821,806,948.32 and 326,689,097.80

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Solution

The fourth proportional to 547,955,148.64, 821,806,948.32 and 326,689,097.80 is: 489,958,660.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,955,148.64 : 821,806,948.32 = 326,689,097.80 : x
  2. Step 2: Convert to fraction form
    547,955,148.64/821,806,948.32 = 326,689,097.80/x
  3. Step 3: Cross multiply
    547,955,148.64x = 821,806,948.32 × 326,689,097.80
  4. Step 4: Simplify right side
    547,955,148.64x = 268,475,370,512,432,064
  5. Step 5: Solve for x
    x = 268,475,370,512,432,064/547,955,148.64
  6. Step 6: Final answer
    x = 489,958,660.26

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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.