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Finding the Fourth Proportional to 463,256.35, 693,979.52 and 319,136.74

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Solution

The fourth proportional to 463,256.35, 693,979.52 and 319,136.74 is: 478,081.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,256.35 : 693,979.52 = 319,136.74 : x
  2. Step 2: Convert to fraction form
    463,256.35/693,979.52 = 319,136.74/x
  3. Step 3: Cross multiply
    463,256.35x = 693,979.52 × 319,136.74
  4. Step 4: Simplify right side
    463,256.35x = 221,474,360,702.46
  5. Step 5: Solve for x
    x = 221,474,360,702.46/463,256.35
  6. Step 6: Final answer
    x = 478,081.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.