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Finding the Fourth Proportional to 400,917, 601,411.02 and 105,429

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Solution

The fourth proportional to 400,917, 601,411.02 and 105,429 is: 158,152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,917 : 601,411.02 = 105,429 : x
  2. Step 2: Convert to fraction form
    400,917/601,411.02 = 105,429/x
  3. Step 3: Cross multiply
    400,917x = 601,411.02 × 105,429
  4. Step 4: Simplify right side
    400,917x = 63,406,162,427.58
  5. Step 5: Solve for x
    x = 63,406,162,427.58/400,917
  6. Step 6: Final answer
    x = 158,152.84

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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.