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Finding the Fourth Proportional to 289,530.64, 399,594.48 and 162,214.84

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Solution

The fourth proportional to 289,530.64, 399,594.48 and 162,214.84 is: 223,880.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,530.64 : 399,594.48 = 162,214.84 : x
  2. Step 2: Convert to fraction form
    289,530.64/399,594.48 = 162,214.84/x
  3. Step 3: Cross multiply
    289,530.64x = 399,594.48 × 162,214.84
  4. Step 4: Simplify right side
    289,530.64x = 64,820,154,638.08
  5. Step 5: Solve for x
    x = 64,820,154,638.08/289,530.64
  6. Step 6: Final answer
    x = 223,880.12

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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.