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Finding the Fourth Proportional to 516,042.64, 712,136.04 and 289,688.08

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Solution

The fourth proportional to 516,042.64, 712,136.04 and 289,688.08 is: 399,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,042.64 : 712,136.04 = 289,688.08 : x
  2. Step 2: Convert to fraction form
    516,042.64/712,136.04 = 289,688.08/x
  3. Step 3: Cross multiply
    516,042.64x = 712,136.04 × 289,688.08
  4. Step 4: Simplify right side
    516,042.64x = 206,297,322,126.40
  5. Step 5: Solve for x
    x = 206,297,322,126.40/516,042.64
  6. Step 6: Final answer
    x = 399,767.98

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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.