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Finding the Fourth Proportional to 382,290.91, 527,641.72 and 242,499.08

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Solution

The fourth proportional to 382,290.91, 527,641.72 and 242,499.08 is: 334,699.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,290.91 : 527,641.72 = 242,499.08 : x
  2. Step 2: Convert to fraction form
    382,290.91/527,641.72 = 242,499.08/x
  3. Step 3: Cross multiply
    382,290.91x = 527,641.72 × 242,499.08
  4. Step 4: Simplify right side
    382,290.91x = 127,952,630,457.12
  5. Step 5: Solve for x
    x = 127,952,630,457.12/382,290.91
  6. Step 6: Final answer
    x = 334,699.65

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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.