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Finding the Fourth Proportional to 507,647.93, 700,465.32 and 289,757.12

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Solution

The fourth proportional to 507,647.93, 700,465.32 and 289,757.12 is: 399,814.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,647.93 : 700,465.32 = 289,757.12 : x
  2. Step 2: Convert to fraction form
    507,647.93/700,465.32 = 289,757.12/x
  3. Step 3: Cross multiply
    507,647.93x = 700,465.32 × 289,757.12
  4. Step 4: Simplify right side
    507,647.93x = 202,964,810,280.75
  5. Step 5: Solve for x
    x = 202,964,810,280.75/507,647.93
  6. Step 6: Final answer
    x = 399,814.12

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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.