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Finding the Fourth Proportional to 510,830.78, 704,946.43 and 296,095.40

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Solution

The fourth proportional to 510,830.78, 704,946.43 and 296,095.40 is: 408,611.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,830.78 : 704,946.43 = 296,095.40 : x
  2. Step 2: Convert to fraction form
    510,830.78/704,946.43 = 296,095.40/x
  3. Step 3: Cross multiply
    510,830.78x = 704,946.43 × 296,095.40
  4. Step 4: Simplify right side
    510,830.78x = 208,731,395,169.42
  5. Step 5: Solve for x
    x = 208,731,395,169.42/510,830.78
  6. Step 6: Final answer
    x = 408,611.63

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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.