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Finding the Fourth Proportional to 564,534.36, 779,060.70 and 309,887.64

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Solution

The fourth proportional to 564,534.36, 779,060.70 and 309,887.64 is: 427,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,534.36 : 779,060.70 = 309,887.64 : x
  2. Step 2: Convert to fraction form
    564,534.36/779,060.70 = 309,887.64/x
  3. Step 3: Cross multiply
    564,534.36x = 779,060.70 × 309,887.64
  4. Step 4: Simplify right side
    564,534.36x = 241,421,281,739.75
  5. Step 5: Solve for x
    x = 241,421,281,739.75/564,534.36
  6. Step 6: Final answer
    x = 427,646.75

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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.