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Finding the Fourth Proportional to 489,909,969.60, 735,200,877.60 and 217,476,254.40

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Solution

The fourth proportional to 489,909,969.60, 735,200,877.60 and 217,476,254.40 is: 326,363,501.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,909,969.60 : 735,200,877.60 = 217,476,254.40 : x
  2. Step 2: Convert to fraction form
    489,909,969.60/735,200,877.60 = 217,476,254.40/x
  3. Step 3: Cross multiply
    489,909,969.60x = 735,200,877.60 × 217,476,254.40
  4. Step 4: Simplify right side
    489,909,969.60x = 159,888,733,092,040,864
  5. Step 5: Solve for x
    x = 159,888,733,092,040,864/489,909,969.60
  6. Step 6: Final answer
    x = 326,363,501.49

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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.