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Finding the Fourth Proportional to 564,598.56, 779,142.66 and 306,480.66

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Solution

The fourth proportional to 564,598.56, 779,142.66 and 306,480.66 is: 422,941.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,598.56 : 779,142.66 = 306,480.66 : x
  2. Step 2: Convert to fraction form
    564,598.56/779,142.66 = 306,480.66/x
  3. Step 3: Cross multiply
    564,598.56x = 779,142.66 × 306,480.66
  4. Step 4: Simplify right side
    564,598.56x = 238,792,156,670.96
  5. Step 5: Solve for x
    x = 238,792,156,670.96/564,598.56
  6. Step 6: Final answer
    x = 422,941.49

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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.