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Finding the Fourth Proportional to 288,109.80, 432,164.70 and 286,266.60

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Solution

The fourth proportional to 288,109.80, 432,164.70 and 286,266.60 is: 429,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,109.80 : 432,164.70 = 286,266.60 : x
  2. Step 2: Convert to fraction form
    288,109.80/432,164.70 = 286,266.60/x
  3. Step 3: Cross multiply
    288,109.80x = 432,164.70 × 286,266.60
  4. Step 4: Simplify right side
    288,109.80x = 123,714,319,309.02
  5. Step 5: Solve for x
    x = 123,714,319,309.02/288,109.80
  6. Step 6: Final answer
    x = 429,399.90

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1.5x scale

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.