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Finding the Fourth Proportional to 210,437.40, 315,656.10 and 52,665.60

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Solution

The fourth proportional to 210,437.40, 315,656.10 and 52,665.60 is: 78,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,437.40 : 315,656.10 = 52,665.60 : x
  2. Step 2: Convert to fraction form
    210,437.40/315,656.10 = 52,665.60/x
  3. Step 3: Cross multiply
    210,437.40x = 315,656.10 × 52,665.60
  4. Step 4: Simplify right side
    210,437.40x = 16,624,217,900.16
  5. Step 5: Solve for x
    x = 16,624,217,900.16/210,437.40
  6. Step 6: Final answer
    x = 78,998.40

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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.