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Finding the Fourth Proportional to 298,574,890.40, 447,862,335.60 and 169,434,727.40

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Solution

The fourth proportional to 298,574,890.40, 447,862,335.60 and 169,434,727.40 is: 254,152,091.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,574,890.40 : 447,862,335.60 = 169,434,727.40 : x
  2. Step 2: Convert to fraction form
    298,574,890.40/447,862,335.60 = 169,434,727.40/x
  3. Step 3: Cross multiply
    298,574,890.40x = 447,862,335.60 × 169,434,727.40
  4. Step 4: Simplify right side
    298,574,890.40x = 75,883,432,745,113,328
  5. Step 5: Solve for x
    x = 75,883,432,745,113,328/298,574,890.40
  6. Step 6: Final answer
    x = 254,152,091.10

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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.