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Finding the Fourth Proportional to 289,697.04, 399,780.64 and 162,372.60

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Solution

The fourth proportional to 289,697.04, 399,780.64 and 162,372.60 is: 224,073.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,697.04 : 399,780.64 = 162,372.60 : x
  2. Step 2: Convert to fraction form
    289,697.04/399,780.64 = 162,372.60/x
  3. Step 3: Cross multiply
    289,697.04x = 399,780.64 × 162,372.60
  4. Step 4: Simplify right side
    289,697.04x = 64,913,421,946.46
  5. Step 5: Solve for x
    x = 64,913,421,946.46/289,697.04
  6. Step 6: Final answer
    x = 224,073.47

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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.