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Finding the Fourth Proportional to 702,078.10, 968,872.49 and 430,146.50

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Solution

The fourth proportional to 702,078.10, 968,872.49 and 430,146.50 is: 593,605.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,078.10 : 968,872.49 = 430,146.50 : x
  2. Step 2: Convert to fraction form
    702,078.10/968,872.49 = 430,146.50/x
  3. Step 3: Cross multiply
    702,078.10x = 968,872.49 × 430,146.50
  4. Step 4: Simplify right side
    702,078.10x = 416,757,110,519.79
  5. Step 5: Solve for x
    x = 416,757,110,519.79/702,078.10
  6. Step 6: Final answer
    x = 593,605.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.