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Finding the Fourth Proportional to 507,641.23, 700,456.10 and 289,750.42

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Solution

The fourth proportional to 507,641.23, 700,456.10 and 289,750.42 is: 399,804.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,641.23 : 700,456.10 = 289,750.42 : x
  2. Step 2: Convert to fraction form
    507,641.23/700,456.10 = 289,750.42/x
  3. Step 3: Cross multiply
    507,641.23x = 700,456.10 × 289,750.42
  4. Step 4: Simplify right side
    507,641.23x = 202,957,449,166.56
  5. Step 5: Solve for x
    x = 202,957,449,166.56/507,641.23
  6. Step 6: Final answer
    x = 399,804.90

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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.