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Finding the Fourth Proportional to 503,421, 694,721.16 and 277,061.64

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Solution

The fourth proportional to 503,421, 694,721.16 and 277,061.64 is: 382,345.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,421 : 694,721.16 = 277,061.64 : x
  2. Step 2: Convert to fraction form
    503,421/694,721.16 = 277,061.64/x
  3. Step 3: Cross multiply
    503,421x = 694,721.16 × 277,061.64
  4. Step 4: Simplify right side
    503,421x = 192,480,583,932.30
  5. Step 5: Solve for x
    x = 192,480,583,932.30/503,421
  6. Step 6: Final answer
    x = 382,345.16

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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.