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Finding the Fourth Proportional to 564,777.64, 779,399.76 and 306,657.64

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Solution

The fourth proportional to 564,777.64, 779,399.76 and 306,657.64 is: 423,191.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,777.64 : 779,399.76 = 306,657.64 : x
  2. Step 2: Convert to fraction form
    564,777.64/779,399.76 = 306,657.64/x
  3. Step 3: Cross multiply
    564,777.64x = 779,399.76 × 306,657.64
  4. Step 4: Simplify right side
    564,777.64x = 239,008,891,018.17
  5. Step 5: Solve for x
    x = 239,008,891,018.17/564,777.64
  6. Step 6: Final answer
    x = 423,191.14

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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.