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Finding the Fourth Proportional to 564,327.63, 778,781.66 and 309,702.51

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Solution

The fourth proportional to 564,327.63, 778,781.66 and 309,702.51 is: 427,394.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,327.63 : 778,781.66 = 309,702.51 : x
  2. Step 2: Convert to fraction form
    564,327.63/778,781.66 = 309,702.51/x
  3. Step 3: Cross multiply
    564,327.63x = 778,781.66 × 309,702.51
  4. Step 4: Simplify right side
    564,327.63x = 241,190,633,295.45
  5. Step 5: Solve for x
    x = 241,190,633,295.45/564,327.63
  6. Step 6: Final answer
    x = 427,394.69

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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.