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Finding the Fourth Proportional to 564,862.58, 779,509.43 and 310,213.76

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Solution

The fourth proportional to 564,862.58, 779,509.43 and 310,213.76 is: 428,094.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,862.58 : 779,509.43 = 310,213.76 : x
  2. Step 2: Convert to fraction form
    564,862.58/779,509.43 = 310,213.76/x
  3. Step 3: Cross multiply
    564,862.58x = 779,509.43 × 310,213.76
  4. Step 4: Simplify right side
    564,862.58x = 241,814,551,235.76
  5. Step 5: Solve for x
    x = 241,814,551,235.76/564,862.58
  6. Step 6: Final answer
    x = 428,094.48

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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.