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Finding the Fourth Proportional to 507,638.98, 700,453 and 289,748.17

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Solution

The fourth proportional to 507,638.98, 700,453 and 289,748.17 is: 399,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,638.98 : 700,453 = 289,748.17 : x
  2. Step 2: Convert to fraction form
    507,638.98/700,453 = 289,748.17/x
  3. Step 3: Cross multiply
    507,638.98x = 700,453 × 289,748.17
  4. Step 4: Simplify right side
    507,638.98x = 202,954,974,921.01
  5. Step 5: Solve for x
    x = 202,954,974,921.01/507,638.98
  6. Step 6: Final answer
    x = 399,801.79

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1.5x scale

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.