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Finding the Fourth Proportional to 400,808, 601,304.16 and 138,152

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Solution

The fourth proportional to 400,808, 601,304.16 and 138,152 is: 207,259.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,808 : 601,304.16 = 138,152 : x
  2. Step 2: Convert to fraction form
    400,808/601,304.16 = 138,152/x
  3. Step 3: Cross multiply
    400,808x = 601,304.16 × 138,152
  4. Step 4: Simplify right side
    400,808x = 83,071,372,312.32
  5. Step 5: Solve for x
    x = 83,071,372,312.32/400,808
  6. Step 6: Final answer
    x = 207,259.77

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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.