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Finding the Fourth Proportional to 507,356.38, 700,156.95 and 306,113.50

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Solution

The fourth proportional to 507,356.38, 700,156.95 and 306,113.50 is: 422,439.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,356.38 : 700,156.95 = 306,113.50 : x
  2. Step 2: Convert to fraction form
    507,356.38/700,156.95 = 306,113.50/x
  3. Step 3: Cross multiply
    507,356.38x = 700,156.95 × 306,113.50
  4. Step 4: Simplify right side
    507,356.38x = 214,327,494,513.83
  5. Step 5: Solve for x
    x = 214,327,494,513.83/507,356.38
  6. Step 6: Final answer
    x = 422,439.73

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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.