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Finding the Fourth Proportional to 507,747.08, 700,699.61 and 278,299.80

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Solution

The fourth proportional to 507,747.08, 700,699.61 and 278,299.80 is: 384,058.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,747.08 : 700,699.61 = 278,299.80 : x
  2. Step 2: Convert to fraction form
    507,747.08/700,699.61 = 278,299.80/x
  3. Step 3: Cross multiply
    507,747.08x = 700,699.61 × 278,299.80
  4. Step 4: Simplify right side
    507,747.08x = 195,004,562,018.83
  5. Step 5: Solve for x
    x = 195,004,562,018.83/507,747.08
  6. Step 6: Final answer
    x = 384,058.46

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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.