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Finding the Fourth Proportional to 406,334.68, 609,384.33 and 122,013.74

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Solution

The fourth proportional to 406,334.68, 609,384.33 and 122,013.74 is: 182,985.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,334.68 : 609,384.33 = 122,013.74 : x
  2. Step 2: Convert to fraction form
    406,334.68/609,384.33 = 122,013.74/x
  3. Step 3: Cross multiply
    406,334.68x = 609,384.33 × 122,013.74
  4. Step 4: Simplify right side
    406,334.68x = 74,353,262,724.16
  5. Step 5: Solve for x
    x = 74,353,262,724.16/406,334.68
  6. Step 6: Final answer
    x = 182,985.28

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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.