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Finding the Fourth Proportional to 564,102.50, 778,457.59 and 305,978.41

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Solution

The fourth proportional to 564,102.50, 778,457.59 and 305,978.41 is: 422,248.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,102.50 : 778,457.59 = 305,978.41 : x
  2. Step 2: Convert to fraction form
    564,102.50/778,457.59 = 305,978.41/x
  3. Step 3: Cross multiply
    564,102.50x = 778,457.59 × 305,978.41
  4. Step 4: Simplify right side
    564,102.50x = 238,191,211,748.34
  5. Step 5: Solve for x
    x = 238,191,211,748.34/564,102.50
  6. Step 6: Final answer
    x = 422,248.11

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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.