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Finding the Fourth Proportional to 298,762.63, 448,142.42 and 172,320.95

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Solution

The fourth proportional to 298,762.63, 448,142.42 and 172,320.95 is: 258,480.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,762.63 : 448,142.42 = 172,320.95 : x
  2. Step 2: Convert to fraction form
    298,762.63/448,142.42 = 172,320.95/x
  3. Step 3: Cross multiply
    298,762.63x = 448,142.42 × 172,320.95
  4. Step 4: Simplify right side
    298,762.63x = 77,224,329,100.86
  5. Step 5: Solve for x
    x = 77,224,329,100.86/298,762.63
  6. Step 6: Final answer
    x = 258,480.55

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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.