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Finding the Fourth Proportional to 409,458.60, 614,187.90 and 143,130.60

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Solution

The fourth proportional to 409,458.60, 614,187.90 and 143,130.60 is: 214,695.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,458.60 : 614,187.90 = 143,130.60 : x
  2. Step 2: Convert to fraction form
    409,458.60/614,187.90 = 143,130.60/x
  3. Step 3: Cross multiply
    409,458.60x = 614,187.90 × 143,130.60
  4. Step 4: Simplify right side
    409,458.60x = 87,909,082,639.74
  5. Step 5: Solve for x
    x = 87,909,082,639.74/409,458.60
  6. Step 6: Final answer
    x = 214,695.90

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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.