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Finding the Fourth Proportional to 542,839.32, 814,652.64 and 306,643.32

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Solution

The fourth proportional to 542,839.32, 814,652.64 and 306,643.32 is: 460,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,839.32 : 814,652.64 = 306,643.32 : x
  2. Step 2: Convert to fraction form
    542,839.32/814,652.64 = 306,643.32/x
  3. Step 3: Cross multiply
    542,839.32x = 814,652.64 × 306,643.32
  4. Step 4: Simplify right side
    542,839.32x = 249,807,790,176.37
  5. Step 5: Solve for x
    x = 249,807,790,176.37/542,839.32
  6. Step 6: Final answer
    x = 460,187.35

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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.