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Finding the Fourth Proportional to 462,653.04, 693,712.44 and 142,719

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Solution

The fourth proportional to 462,653.04, 693,712.44 and 142,719 is: 213,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,653.04 : 693,712.44 = 142,719 : x
  2. Step 2: Convert to fraction form
    462,653.04/693,712.44 = 142,719/x
  3. Step 3: Cross multiply
    462,653.04x = 693,712.44 × 142,719
  4. Step 4: Simplify right side
    462,653.04x = 99,005,945,724.36
  5. Step 5: Solve for x
    x = 99,005,945,724.36/462,653.04
  6. Step 6: Final answer
    x = 213,996.10

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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.