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Finding the Fourth Proportional to 298,762.06, 412,302.07 and 162,807.21

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Solution

The fourth proportional to 298,762.06, 412,302.07 and 162,807.21 is: 224,679.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,762.06 : 412,302.07 = 162,807.21 : x
  2. Step 2: Convert to fraction form
    298,762.06/412,302.07 = 162,807.21/x
  3. Step 3: Cross multiply
    298,762.06x = 412,302.07 × 162,807.21
  4. Step 4: Simplify right side
    298,762.06x = 67,125,749,693.92
  5. Step 5: Solve for x
    x = 67,125,749,693.92/298,762.06
  6. Step 6: Final answer
    x = 224,679.63

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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.