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Finding the Fourth Proportional to 356,389.96, 534,509.70 and 212,359.64

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Solution

The fourth proportional to 356,389.96, 534,509.70 and 212,359.64 is: 318,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,389.96 : 534,509.70 = 212,359.64 : x
  2. Step 2: Convert to fraction form
    356,389.96/534,509.70 = 212,359.64/x
  3. Step 3: Cross multiply
    356,389.96x = 534,509.70 × 212,359.64
  4. Step 4: Simplify right side
    356,389.96x = 113,508,287,468.51
  5. Step 5: Solve for x
    x = 113,508,287,468.51/356,389.96
  6. Step 6: Final answer
    x = 318,494.63

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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.