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Finding the Fourth Proportional to 210,330.88, 315,497.14 and 52,559.50

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Solution

The fourth proportional to 210,330.88, 315,497.14 and 52,559.50 is: 78,839.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,330.88 : 315,497.14 = 52,559.50 : x
  2. Step 2: Convert to fraction form
    210,330.88/315,497.14 = 52,559.50/x
  3. Step 3: Cross multiply
    210,330.88x = 315,497.14 × 52,559.50
  4. Step 4: Simplify right side
    210,330.88x = 16,582,371,929.83
  5. Step 5: Solve for x
    x = 16,582,371,929.83/210,330.88
  6. Step 6: Final answer
    x = 78,839.45

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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.