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Finding the Fourth Proportional to 503,964, 755,946 and 208,476

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Solution

The fourth proportional to 503,964, 755,946 and 208,476 is: 312,714

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,964 : 755,946 = 208,476 : x
  2. Step 2: Convert to fraction form
    503,964/755,946 = 208,476/x
  3. Step 3: Cross multiply
    503,964x = 755,946 × 208,476
  4. Step 4: Simplify right side
    503,964x = 157,596,598,296
  5. Step 5: Solve for x
    x = 157,596,598,296/503,964
  6. Step 6: Final answer
    x = 312,714

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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.