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Finding the Fourth Proportional to 472,291.70, 709,819.95 and 411,466.10

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Solution

The fourth proportional to 472,291.70, 709,819.95 and 411,466.10 is: 618,403.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,291.70 : 709,819.95 = 411,466.10 : x
  2. Step 2: Convert to fraction form
    472,291.70/709,819.95 = 411,466.10/x
  3. Step 3: Cross multiply
    472,291.70x = 709,819.95 × 411,466.10
  4. Step 4: Simplify right side
    472,291.70x = 292,066,846,528.70
  5. Step 5: Solve for x
    x = 292,066,846,528.70/472,291.70
  6. Step 6: Final answer
    x = 618,403.51

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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.