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Finding the Fourth Proportional to 564,234.46, 778,638.60 and 306,110.98

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Solution

The fourth proportional to 564,234.46, 778,638.60 and 306,110.98 is: 422,430.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,234.46 : 778,638.60 = 306,110.98 : x
  2. Step 2: Convert to fraction form
    564,234.46/778,638.60 = 306,110.98/x
  3. Step 3: Cross multiply
    564,234.46x = 778,638.60 × 306,110.98
  4. Step 4: Simplify right side
    564,234.46x = 238,349,824,911.83
  5. Step 5: Solve for x
    x = 238,349,824,911.83/564,234.46
  6. Step 6: Final answer
    x = 422,430.46

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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.