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Finding the Fourth Proportional to 569,855.66, 786,366.23 and 311,683.95

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Solution

The fourth proportional to 569,855.66, 786,366.23 and 311,683.95 is: 430,104.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,855.66 : 786,366.23 = 311,683.95 : x
  2. Step 2: Convert to fraction form
    569,855.66/786,366.23 = 311,683.95/x
  3. Step 3: Cross multiply
    569,855.66x = 786,366.23 × 311,683.95
  4. Step 4: Simplify right side
    569,855.66x = 245,097,731,154.59
  5. Step 5: Solve for x
    x = 245,097,731,154.59/569,855.66
  6. Step 6: Final answer
    x = 430,104.94

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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.