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Finding the Fourth Proportional to 289,720,903.60, 434,581,355.40 and 221,696,455.60

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Solution

The fourth proportional to 289,720,903.60, 434,581,355.40 and 221,696,455.60 is: 332,544,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,720,903.60 : 434,581,355.40 = 221,696,455.60 : x
  2. Step 2: Convert to fraction form
    289,720,903.60/434,581,355.40 = 221,696,455.60/x
  3. Step 3: Cross multiply
    289,720,903.60x = 434,581,355.40 × 221,696,455.60
  4. Step 4: Simplify right side
    289,720,903.60x = 96,345,146,162,023,920
  5. Step 5: Solve for x
    x = 96,345,146,162,023,920/289,720,903.60
  6. Step 6: Final answer
    x = 332,544,683.40

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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.