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Finding the Fourth Proportional to 699,814.42, 966,208.74 and 538,384.66

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Solution

The fourth proportional to 699,814.42, 966,208.74 and 538,384.66 is: 743,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    699,814.42 : 966,208.74 = 538,384.66 : x
  2. Step 2: Convert to fraction form
    699,814.42/966,208.74 = 538,384.66/x
  3. Step 3: Cross multiply
    699,814.42x = 966,208.74 × 538,384.66
  4. Step 4: Simplify right side
    699,814.42x = 520,191,963,973.93
  5. Step 5: Solve for x
    x = 520,191,963,973.93/699,814.42
  6. Step 6: Final answer
    x = 743,328.44

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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.