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Finding the Fourth Proportional to 507,398.50, 700,209.93 and 306,194.50

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Solution

The fourth proportional to 507,398.50, 700,209.93 and 306,194.50 is: 422,548.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,398.50 : 700,209.93 = 306,194.50 : x
  2. Step 2: Convert to fraction form
    507,398.50/700,209.93 = 306,194.50/x
  3. Step 3: Cross multiply
    507,398.50x = 700,209.93 × 306,194.50
  4. Step 4: Simplify right side
    507,398.50x = 214,400,429,411.39
  5. Step 5: Solve for x
    x = 214,400,429,411.39/507,398.50
  6. Step 6: Final answer
    x = 422,548.41

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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.