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Finding the Fourth Proportional to 564,104.88, 778,460.88 and 305,980.77

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Solution

The fourth proportional to 564,104.88, 778,460.88 and 305,980.77 is: 422,251.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,104.88 : 778,460.88 = 305,980.77 : x
  2. Step 2: Convert to fraction form
    564,104.88/778,460.88 = 305,980.77/x
  3. Step 3: Cross multiply
    564,104.88x = 778,460.88 × 305,980.77
  4. Step 4: Simplify right side
    564,104.88x = 238,194,059,477.28
  5. Step 5: Solve for x
    x = 238,194,059,477.28/564,104.88
  6. Step 6: Final answer
    x = 422,251.37

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1.5x scale

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.