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Finding the Fourth Proportional to 389,840.40, 537,984.24 and 228,698.20

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Solution

The fourth proportional to 389,840.40, 537,984.24 and 228,698.20 is: 315,606.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,840.40 : 537,984.24 = 228,698.20 : x
  2. Step 2: Convert to fraction form
    389,840.40/537,984.24 = 228,698.20/x
  3. Step 3: Cross multiply
    389,840.40x = 537,984.24 × 228,698.20
  4. Step 4: Simplify right side
    389,840.40x = 123,036,027,316.37
  5. Step 5: Solve for x
    x = 123,036,027,316.37/389,840.40
  6. Step 6: Final answer
    x = 315,606.15

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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.