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Finding the Fourth Proportional to 542,428, 813,642.06 and 210,004

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Solution

The fourth proportional to 542,428, 813,642.06 and 210,004 is: 315,006.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,428 : 813,642.06 = 210,004 : x
  2. Step 2: Convert to fraction form
    542,428/813,642.06 = 210,004/x
  3. Step 3: Cross multiply
    542,428x = 813,642.06 × 210,004
  4. Step 4: Simplify right side
    542,428x = 170,868,087,168.24
  5. Step 5: Solve for x
    x = 170,868,087,168.24/542,428
  6. Step 6: Final answer
    x = 315,006.02

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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.