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Finding the Fourth Proportional to 280,422,230.40, 420,633,345.60 and 232,646,486.40

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Solution

The fourth proportional to 280,422,230.40, 420,633,345.60 and 232,646,486.40 is: 348,969,729.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,422,230.40 : 420,633,345.60 = 232,646,486.40 : x
  2. Step 2: Convert to fraction form
    280,422,230.40/420,633,345.60 = 232,646,486.40/x
  3. Step 3: Cross multiply
    280,422,230.40x = 420,633,345.60 × 232,646,486.40
  4. Step 4: Simplify right side
    280,422,230.40x = 97,858,869,916,516,912
  5. Step 5: Solve for x
    x = 97,858,869,916,516,912/280,422,230.40
  6. Step 6: Final answer
    x = 348,969,729.60

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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.