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Finding the Fourth Proportional to 710,934.63, 981,090.62 and 409,128.87

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Solution

The fourth proportional to 710,934.63, 981,090.62 and 409,128.87 is: 564,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,934.63 : 981,090.62 = 409,128.87 : x
  2. Step 2: Convert to fraction form
    710,934.63/981,090.62 = 409,128.87/x
  3. Step 3: Cross multiply
    710,934.63x = 981,090.62 × 409,128.87
  4. Step 4: Simplify right side
    710,934.63x = 401,392,494,682.56
  5. Step 5: Solve for x
    x = 401,392,494,682.56/710,934.63
  6. Step 6: Final answer
    x = 564,598.32

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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.