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Finding the Fourth Proportional to 509,775.12, 703,501.08 and 280,317.86

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Solution

The fourth proportional to 509,775.12, 703,501.08 and 280,317.86 is: 386,844.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,775.12 : 703,501.08 = 280,317.86 : x
  2. Step 2: Convert to fraction form
    509,775.12/703,501.08 = 280,317.86/x
  3. Step 3: Cross multiply
    509,775.12x = 703,501.08 × 280,317.86
  4. Step 4: Simplify right side
    509,775.12x = 197,203,917,253.29
  5. Step 5: Solve for x
    x = 197,203,917,253.29/509,775.12
  6. Step 6: Final answer
    x = 386,844.92

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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.