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Finding the Fourth Proportional to 569,817.53, 786,315.12 and 311,646.29

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Solution

The fourth proportional to 569,817.53, 786,315.12 and 311,646.29 is: 430,053.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,817.53 : 786,315.12 = 311,646.29 : x
  2. Step 2: Convert to fraction form
    569,817.53/786,315.12 = 311,646.29/x
  3. Step 3: Cross multiply
    569,817.53x = 786,315.12 × 311,646.29
  4. Step 4: Simplify right side
    569,817.53x = 245,052,185,695.16
  5. Step 5: Solve for x
    x = 245,052,185,695.16/569,817.53
  6. Step 6: Final answer
    x = 430,053.78

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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.