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Finding the Fourth Proportional to 210,435, 315,653.31 and 52,663.02

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Solution

The fourth proportional to 210,435, 315,653.31 and 52,663.02 is: 78,994.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,435 : 315,653.31 = 52,663.02 : x
  2. Step 2: Convert to fraction form
    210,435/315,653.31 = 52,663.02/x
  3. Step 3: Cross multiply
    210,435x = 315,653.31 × 52,663.02
  4. Step 4: Simplify right side
    210,435x = 16,623,256,577.60
  5. Step 5: Solve for x
    x = 16,623,256,577.60/210,435
  6. Step 6: Final answer
    x = 78,994.73

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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.