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Finding the Fourth Proportional to 542,492.64, 813,627.79 and 205,417.01

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Solution

The fourth proportional to 542,492.64, 813,627.79 and 205,417.01 is: 308,083.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,492.64 : 813,627.79 = 205,417.01 : x
  2. Step 2: Convert to fraction form
    542,492.64/813,627.79 = 205,417.01/x
  3. Step 3: Cross multiply
    542,492.64x = 813,627.79 × 205,417.01
  4. Step 4: Simplify right side
    542,492.64x = 167,132,989,395.24
  5. Step 5: Solve for x
    x = 167,132,989,395.24/542,492.64
  6. Step 6: Final answer
    x = 308,083.42

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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.