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Finding the Fourth Proportional to 458,586.96, 687,518.66 and 289,751.46

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Solution

The fourth proportional to 458,586.96, 687,518.66 and 289,751.46 is: 434,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,586.96 : 687,518.66 = 289,751.46 : x
  2. Step 2: Convert to fraction form
    458,586.96/687,518.66 = 289,751.46/x
  3. Step 3: Cross multiply
    458,586.96x = 687,518.66 × 289,751.46
  4. Step 4: Simplify right side
    458,586.96x = 199,209,535,512.24
  5. Step 5: Solve for x
    x = 199,209,535,512.24/458,586.96
  6. Step 6: Final answer
    x = 434,398.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.