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Finding the Fourth Proportional to 210,321, 315,482.18 and 52,549.47

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Solution

The fourth proportional to 210,321, 315,482.18 and 52,549.47 is: 78,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321 : 315,482.18 = 52,549.47 : x
  2. Step 2: Convert to fraction form
    210,321/315,482.18 = 52,549.47/x
  3. Step 3: Cross multiply
    210,321x = 315,482.18 × 52,549.47
  4. Step 4: Simplify right side
    210,321x = 16,578,421,090.70
  5. Step 5: Solve for x
    x = 16,578,421,090.70/210,321
  6. Step 6: Final answer
    x = 78,824.37

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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.