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Finding the Fourth Proportional to 569,484.74, 785,890.36 and 311,378.35

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Solution

The fourth proportional to 569,484.74, 785,890.36 and 311,378.35 is: 429,702.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,484.74 : 785,890.36 = 311,378.35 : x
  2. Step 2: Convert to fraction form
    569,484.74/785,890.36 = 311,378.35/x
  3. Step 3: Cross multiply
    569,484.74x = 785,890.36 × 311,378.35
  4. Step 4: Simplify right side
    569,484.74x = 244,709,239,944.82
  5. Step 5: Solve for x
    x = 244,709,239,944.82/569,484.74
  6. Step 6: Final answer
    x = 429,702.89

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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.