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Finding the Fourth Proportional to 289,325.17, 399,254.86 and 160,254.94

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Solution

The fourth proportional to 289,325.17, 399,254.86 and 160,254.94 is: 221,144.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,325.17 : 399,254.86 = 160,254.94 : x
  2. Step 2: Convert to fraction form
    289,325.17/399,254.86 = 160,254.94/x
  3. Step 3: Cross multiply
    289,325.17x = 399,254.86 × 160,254.94
  4. Step 4: Simplify right side
    289,325.17x = 63,982,563,036.51
  5. Step 5: Solve for x
    x = 63,982,563,036.51/289,325.17
  6. Step 6: Final answer
    x = 221,144.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.