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Finding the Fourth Proportional to 400,417.64, 600,605.40 and 100,898

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Solution

The fourth proportional to 400,417.64, 600,605.40 and 100,898 is: 151,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,417.64 : 600,605.40 = 100,898 : x
  2. Step 2: Convert to fraction form
    400,417.64/600,605.40 = 100,898/x
  3. Step 3: Cross multiply
    400,417.64x = 600,605.40 × 100,898
  4. Step 4: Simplify right side
    400,417.64x = 60,599,883,649.20
  5. Step 5: Solve for x
    x = 60,599,883,649.20/400,417.64
  6. Step 6: Final answer
    x = 151,341.69

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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.