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Finding the Fourth Proportional to 569,451.78, 785,864.43 and 311,345.91

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Solution

The fourth proportional to 569,451.78, 785,864.43 and 311,345.91 is: 429,668.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,451.78 : 785,864.43 = 311,345.91 : x
  2. Step 2: Convert to fraction form
    569,451.78/785,864.43 = 311,345.91/x
  3. Step 3: Cross multiply
    569,451.78x = 785,864.43 × 311,345.91
  4. Step 4: Simplify right side
    569,451.78x = 244,675,676,094.98
  5. Step 5: Solve for x
    x = 244,675,676,094.98/569,451.78
  6. Step 6: Final answer
    x = 429,668.82

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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.