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Finding the Fourth Proportional to 542,429, 813,643.56 and 210,005

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Solution

The fourth proportional to 542,429, 813,643.56 and 210,005 is: 315,007.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,429 : 813,643.56 = 210,005 : x
  2. Step 2: Convert to fraction form
    542,429/813,643.56 = 210,005/x
  3. Step 3: Cross multiply
    542,429x = 813,643.56 × 210,005
  4. Step 4: Simplify right side
    542,429x = 170,869,215,817.80
  5. Step 5: Solve for x
    x = 170,869,215,817.80/542,429
  6. Step 6: Final answer
    x = 315,007.52

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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.