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Finding the Fourth Proportional to 507,369.75, 700,181.57 and 289,574.06

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Solution

The fourth proportional to 507,369.75, 700,181.57 and 289,574.06 is: 399,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,369.75 : 700,181.57 = 289,574.06 : x
  2. Step 2: Convert to fraction form
    507,369.75/700,181.57 = 289,574.06/x
  3. Step 3: Cross multiply
    507,369.75x = 700,181.57 × 289,574.06
  4. Step 4: Simplify right side
    507,369.75x = 202,754,419,962.07
  5. Step 5: Solve for x
    x = 202,754,419,962.07/507,369.75
  6. Step 6: Final answer
    x = 399,618.66

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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.