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Finding the Fourth Proportional to 584,050.50, 805,990.50 and 315,778.50

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Solution

The fourth proportional to 584,050.50, 805,990.50 and 315,778.50 is: 435,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,050.50 : 805,990.50 = 315,778.50 : x
  2. Step 2: Convert to fraction form
    584,050.50/805,990.50 = 315,778.50/x
  3. Step 3: Cross multiply
    584,050.50x = 805,990.50 × 315,778.50
  4. Step 4: Simplify right side
    584,050.50x = 254,514,471,104.25
  5. Step 5: Solve for x
    x = 254,514,471,104.25/584,050.50
  6. Step 6: Final answer
    x = 435,774.77

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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.