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Finding the Fourth Proportional to 507,230.40, 760,801.60 and 307,492

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Solution

The fourth proportional to 507,230.40, 760,801.60 and 307,492 is: 461,211.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,230.40 : 760,801.60 = 307,492 : x
  2. Step 2: Convert to fraction form
    507,230.40/760,801.60 = 307,492/x
  3. Step 3: Cross multiply
    507,230.40x = 760,801.60 × 307,492
  4. Step 4: Simplify right side
    507,230.40x = 233,940,405,587.20
  5. Step 5: Solve for x
    x = 233,940,405,587.20/507,230.40
  6. Step 6: Final answer
    x = 461,211.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.