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Finding the Fourth Proportional to 384,073.98, 530,019.23 and 211,991.91

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Solution

The fourth proportional to 384,073.98, 530,019.23 and 211,991.91 is: 292,547.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,073.98 : 530,019.23 = 211,991.91 : x
  2. Step 2: Convert to fraction form
    384,073.98/530,019.23 = 211,991.91/x
  3. Step 3: Cross multiply
    384,073.98x = 530,019.23 × 211,991.91
  4. Step 4: Simplify right side
    384,073.98x = 112,359,788,904.43
  5. Step 5: Solve for x
    x = 112,359,788,904.43/384,073.98
  6. Step 6: Final answer
    x = 292,547.26

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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.