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Finding the Fourth Proportional to 459,478.80, 688,935.92 and 178,668.72

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Solution

The fourth proportional to 459,478.80, 688,935.92 and 178,668.72 is: 267,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,478.80 : 688,935.92 = 178,668.72 : x
  2. Step 2: Convert to fraction form
    459,478.80/688,935.92 = 178,668.72/x
  3. Step 3: Cross multiply
    459,478.80x = 688,935.92 × 178,668.72
  4. Step 4: Simplify right side
    459,478.80x = 123,091,298,988.42
  5. Step 5: Solve for x
    x = 123,091,298,988.42/459,478.80
  6. Step 6: Final answer
    x = 267,893.32

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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.