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Finding the Fourth Proportional to 564,339.36, 778,810.78 and 309,699.66

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Solution

The fourth proportional to 564,339.36, 778,810.78 and 309,699.66 is: 427,397.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,339.36 : 778,810.78 = 309,699.66 : x
  2. Step 2: Convert to fraction form
    564,339.36/778,810.78 = 309,699.66/x
  3. Step 3: Cross multiply
    564,339.36x = 778,810.78 × 309,699.66
  4. Step 4: Simplify right side
    564,339.36x = 241,197,433,770.34
  5. Step 5: Solve for x
    x = 241,197,433,770.34/564,339.36
  6. Step 6: Final answer
    x = 427,397.86

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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.