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Finding the Fourth Proportional to 277,931.64, 417,455.32 and 165,830.60

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Solution

The fourth proportional to 277,931.64, 417,455.32 and 165,830.60 is: 249,078.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,931.64 : 417,455.32 = 165,830.60 : x
  2. Step 2: Convert to fraction form
    277,931.64/417,455.32 = 165,830.60/x
  3. Step 3: Cross multiply
    277,931.64x = 417,455.32 × 165,830.60
  4. Step 4: Simplify right side
    277,931.64x = 69,226,866,188.79
  5. Step 5: Solve for x
    x = 69,226,866,188.79/277,931.64
  6. Step 6: Final answer
    x = 249,078.75

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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.