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Finding the Fourth Proportional to 384,653.18, 530,841.72 and 231,739.51

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Solution

The fourth proportional to 384,653.18, 530,841.72 and 231,739.51 is: 319,812.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,653.18 : 530,841.72 = 231,739.51 : x
  2. Step 2: Convert to fraction form
    384,653.18/530,841.72 = 231,739.51/x
  3. Step 3: Cross multiply
    384,653.18x = 530,841.72 × 231,739.51
  4. Step 4: Simplify right side
    384,653.18x = 123,016,999,657.63
  5. Step 5: Solve for x
    x = 123,016,999,657.63/384,653.18
  6. Step 6: Final answer
    x = 319,812.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.