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Finding the Fourth Proportional to 302,153.41, 416,745.12 and 288,752.77

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Solution

The fourth proportional to 302,153.41, 416,745.12 and 288,752.77 is: 398,262.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,153.41 : 416,745.12 = 288,752.77 : x
  2. Step 2: Convert to fraction form
    302,153.41/416,745.12 = 288,752.77/x
  3. Step 3: Cross multiply
    302,153.41x = 416,745.12 × 288,752.77
  4. Step 4: Simplify right side
    302,153.41x = 120,336,307,783.98
  5. Step 5: Solve for x
    x = 120,336,307,783.98/302,153.41
  6. Step 6: Final answer
    x = 398,262.29

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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.