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Finding the Fourth Proportional to 509,820.98, 703,548.69 and 283,464.50

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Solution

The fourth proportional to 509,820.98, 703,548.69 and 283,464.50 is: 391,178.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,820.98 : 703,548.69 = 283,464.50 : x
  2. Step 2: Convert to fraction form
    509,820.98/703,548.69 = 283,464.50/x
  3. Step 3: Cross multiply
    509,820.98x = 703,548.69 × 283,464.50
  4. Step 4: Simplify right side
    509,820.98x = 199,431,077,636.51
  5. Step 5: Solve for x
    x = 199,431,077,636.51/509,820.98
  6. Step 6: Final answer
    x = 391,178.64

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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.