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Finding the Fourth Proportional to 507,945, 700,965.06 and 281,590.50

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Solution

The fourth proportional to 507,945, 700,965.06 and 281,590.50 is: 388,595.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,945 : 700,965.06 = 281,590.50 : x
  2. Step 2: Convert to fraction form
    507,945/700,965.06 = 281,590.50/x
  3. Step 3: Cross multiply
    507,945x = 700,965.06 × 281,590.50
  4. Step 4: Simplify right side
    507,945x = 197,385,101,727.93
  5. Step 5: Solve for x
    x = 197,385,101,727.93/507,945
  6. Step 6: Final answer
    x = 388,595.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.