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Finding the Fourth Proportional to 507,353.88, 700,153.50 and 306,111

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Solution

The fourth proportional to 507,353.88, 700,153.50 and 306,111 is: 422,436.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,353.88 : 700,153.50 = 306,111 : x
  2. Step 2: Convert to fraction form
    507,353.88/700,153.50 = 306,111/x
  3. Step 3: Cross multiply
    507,353.88x = 700,153.50 × 306,111
  4. Step 4: Simplify right side
    507,353.88x = 214,324,688,038.50
  5. Step 5: Solve for x
    x = 214,324,688,038.50/507,353.88
  6. Step 6: Final answer
    x = 422,436.28

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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.