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Finding the Fourth Proportional to 564,326.48, 778,739.52 and 309,657.56

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Solution

The fourth proportional to 564,326.48, 778,739.52 and 309,657.56 is: 427,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,326.48 : 778,739.52 = 309,657.56 : x
  2. Step 2: Convert to fraction form
    564,326.48/778,739.52 = 309,657.56/x
  3. Step 3: Cross multiply
    564,326.48x = 778,739.52 × 309,657.56
  4. Step 4: Simplify right side
    564,326.48x = 241,142,579,638.77
  5. Step 5: Solve for x
    x = 241,142,579,638.77/564,326.48
  6. Step 6: Final answer
    x = 427,310.41

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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.