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Finding the Fourth Proportional to 509,168.70, 763,558.65 and 154,064.70

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Solution

The fourth proportional to 509,168.70, 763,558.65 and 154,064.70 is: 231,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,168.70 : 763,558.65 = 154,064.70 : x
  2. Step 2: Convert to fraction form
    509,168.70/763,558.65 = 154,064.70/x
  3. Step 3: Cross multiply
    509,168.70x = 763,558.65 × 154,064.70
  4. Step 4: Simplify right side
    509,168.70x = 117,637,434,344.66
  5. Step 5: Solve for x
    x = 117,637,434,344.66/509,168.70
  6. Step 6: Final answer
    x = 231,038.23

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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.