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Finding the Fourth Proportional to 472,698, 652,325.28 and 257,842.72

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Solution

The fourth proportional to 472,698, 652,325.28 and 257,842.72 is: 355,824.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,698 : 652,325.28 = 257,842.72 : x
  2. Step 2: Convert to fraction form
    472,698/652,325.28 = 257,842.72/x
  3. Step 3: Cross multiply
    472,698x = 652,325.28 × 257,842.72
  4. Step 4: Simplify right side
    472,698x = 168,197,324,519.96
  5. Step 5: Solve for x
    x = 168,197,324,519.96/472,698
  6. Step 6: Final answer
    x = 355,824.07

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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.