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Finding the Fourth Proportional to 531,776.66, 733,854.09 and 290,064.42

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Solution

The fourth proportional to 531,776.66, 733,854.09 and 290,064.42 is: 400,290.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,776.66 : 733,854.09 = 290,064.42 : x
  2. Step 2: Convert to fraction form
    531,776.66/733,854.09 = 290,064.42/x
  3. Step 3: Cross multiply
    531,776.66x = 733,854.09 × 290,064.42
  4. Step 4: Simplify right side
    531,776.66x = 212,864,960,980.48
  5. Step 5: Solve for x
    x = 212,864,960,980.48/531,776.66
  6. Step 6: Final answer
    x = 400,290.16

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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.