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Finding the Fourth Proportional to 569,484.81, 785,890.45 and 311,378.41

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Solution

The fourth proportional to 569,484.81, 785,890.45 and 311,378.41 is: 429,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,484.81 : 785,890.45 = 311,378.41 : x
  2. Step 2: Convert to fraction form
    569,484.81/785,890.45 = 311,378.41/x
  3. Step 3: Cross multiply
    569,484.81x = 785,890.45 × 311,378.41
  4. Step 4: Simplify right side
    569,484.81x = 244,709,315,919.36
  5. Step 5: Solve for x
    x = 244,709,315,919.36/569,484.81
  6. Step 6: Final answer
    x = 429,702.98

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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.