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Finding the Fourth Proportional to 512,568.60, 768,852.90 and 299,117.40

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Solution

The fourth proportional to 512,568.60, 768,852.90 and 299,117.40 is: 448,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,568.60 : 768,852.90 = 299,117.40 : x
  2. Step 2: Convert to fraction form
    512,568.60/768,852.90 = 299,117.40/x
  3. Step 3: Cross multiply
    512,568.60x = 768,852.90 × 299,117.40
  4. Step 4: Simplify right side
    512,568.60x = 229,977,280,430.46
  5. Step 5: Solve for x
    x = 229,977,280,430.46/512,568.60
  6. Step 6: Final answer
    x = 448,676.10

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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.