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Finding the Fourth Proportional to 507,657.15, 700,586.27 and 289,901.35

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Solution

The fourth proportional to 507,657.15, 700,586.27 and 289,901.35 is: 400,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,657.15 : 700,586.27 = 289,901.35 : x
  2. Step 2: Convert to fraction form
    507,657.15/700,586.27 = 289,901.35/x
  3. Step 3: Cross multiply
    507,657.15x = 700,586.27 × 289,901.35
  4. Step 4: Simplify right side
    507,657.15x = 203,100,905,464.46
  5. Step 5: Solve for x
    x = 203,100,905,464.46/507,657.15
  6. Step 6: Final answer
    x = 400,074.94

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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.