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Finding the Fourth Proportional to 380,037.30, 570,055.95 and 308,874.03

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Solution

The fourth proportional to 380,037.30, 570,055.95 and 308,874.03 is: 463,311.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,037.30 : 570,055.95 = 308,874.03 : x
  2. Step 2: Convert to fraction form
    380,037.30/570,055.95 = 308,874.03/x
  3. Step 3: Cross multiply
    380,037.30x = 570,055.95 × 308,874.03
  4. Step 4: Simplify right side
    380,037.30x = 176,075,477,057.61
  5. Step 5: Solve for x
    x = 176,075,477,057.61/380,037.30
  6. Step 6: Final answer
    x = 463,311.04

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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.