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Finding the Fourth Proportional to 564,234.48, 778,638.60 and 306,111

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Solution

The fourth proportional to 564,234.48, 778,638.60 and 306,111 is: 422,430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,234.48 : 778,638.60 = 306,111 : x
  2. Step 2: Convert to fraction form
    564,234.48/778,638.60 = 306,111/x
  3. Step 3: Cross multiply
    564,234.48x = 778,638.60 × 306,111
  4. Step 4: Simplify right side
    564,234.48x = 238,349,840,484.60
  5. Step 5: Solve for x
    x = 238,349,840,484.60/564,234.48
  6. Step 6: Final answer
    x = 422,430.48

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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.