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Finding the Fourth Proportional to 402,289.88, 603,643.80 and 162,462.76

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Solution

The fourth proportional to 402,289.88, 603,643.80 and 162,462.76 is: 243,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,289.88 : 603,643.80 = 162,462.76 : x
  2. Step 2: Convert to fraction form
    402,289.88/603,643.80 = 162,462.76/x
  3. Step 3: Cross multiply
    402,289.88x = 603,643.80 × 162,462.76
  4. Step 4: Simplify right side
    402,289.88x = 98,069,637,804.89
  5. Step 5: Solve for x
    x = 98,069,637,804.89/402,289.88
  6. Step 6: Final answer
    x = 243,778.54

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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.