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Finding the Fourth Proportional to 370,103.04, 510,765.80 and 208,899.27

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Solution

The fourth proportional to 370,103.04, 510,765.80 and 208,899.27 is: 288,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,103.04 : 510,765.80 = 208,899.27 : x
  2. Step 2: Convert to fraction form
    370,103.04/510,765.80 = 208,899.27/x
  3. Step 3: Cross multiply
    370,103.04x = 510,765.80 × 208,899.27
  4. Step 4: Simplify right side
    370,103.04x = 106,698,601,716.47
  5. Step 5: Solve for x
    x = 106,698,601,716.47/370,103.04
  6. Step 6: Final answer
    x = 288,294.31

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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.