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Finding the Fourth Proportional to 286,298.40, 429,447.60 and 180,010.20

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Solution

The fourth proportional to 286,298.40, 429,447.60 and 180,010.20 is: 270,015.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,298.40 : 429,447.60 = 180,010.20 : x
  2. Step 2: Convert to fraction form
    286,298.40/429,447.60 = 180,010.20/x
  3. Step 3: Cross multiply
    286,298.40x = 429,447.60 × 180,010.20
  4. Step 4: Simplify right side
    286,298.40x = 77,304,948,365.52
  5. Step 5: Solve for x
    x = 77,304,948,365.52/286,298.40
  6. Step 6: Final answer
    x = 270,015.30

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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.