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Finding the Fourth Proportional to 507,644.55, 700,460.66 and 289,753.74

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Solution

The fourth proportional to 507,644.55, 700,460.66 and 289,753.74 is: 399,809.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,644.55 : 700,460.66 = 289,753.74 : x
  2. Step 2: Convert to fraction form
    507,644.55/700,460.66 = 289,753.74/x
  3. Step 3: Cross multiply
    507,644.55x = 700,460.66 × 289,753.74
  4. Step 4: Simplify right side
    507,644.55x = 202,961,096,682.25
  5. Step 5: Solve for x
    x = 202,961,096,682.25/507,644.55
  6. Step 6: Final answer
    x = 399,809.47

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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.