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Finding the Fourth Proportional to 287,427.20, 431,140.80 and 284,662.40

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Solution

The fourth proportional to 287,427.20, 431,140.80 and 284,662.40 is: 426,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,427.20 : 431,140.80 = 284,662.40 : x
  2. Step 2: Convert to fraction form
    287,427.20/431,140.80 = 284,662.40/x
  3. Step 3: Cross multiply
    287,427.20x = 431,140.80 × 284,662.40
  4. Step 4: Simplify right side
    287,427.20x = 122,729,574,865.92
  5. Step 5: Solve for x
    x = 122,729,574,865.92/287,427.20
  6. Step 6: Final answer
    x = 426,993.60

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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.