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Finding the Fourth Proportional to 509,801.64, 703,235.61 and 316,120.92

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Solution

The fourth proportional to 509,801.64, 703,235.61 and 316,120.92 is: 436,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,801.64 : 703,235.61 = 316,120.92 : x
  2. Step 2: Convert to fraction form
    509,801.64/703,235.61 = 316,120.92/x
  3. Step 3: Cross multiply
    509,801.64x = 703,235.61 × 316,120.92
  4. Step 4: Simplify right side
    509,801.64x = 222,307,488,009.96
  5. Step 5: Solve for x
    x = 222,307,488,009.96/509,801.64
  6. Step 6: Final answer
    x = 436,066.64

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1.5x scale

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.