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Finding the Fourth Proportional to 384,389.52, 529,909.45 and 298,196.43

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Solution

The fourth proportional to 384,389.52, 529,909.45 and 298,196.43 is: 411,085.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,389.52 : 529,909.45 = 298,196.43 : x
  2. Step 2: Convert to fraction form
    384,389.52/529,909.45 = 298,196.43/x
  3. Step 3: Cross multiply
    384,389.52x = 529,909.45 × 298,196.43
  4. Step 4: Simplify right side
    384,389.52x = 158,017,106,213.26
  5. Step 5: Solve for x
    x = 158,017,106,213.26/384,389.52
  6. Step 6: Final answer
    x = 411,085.89

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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.