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Finding the Fourth Proportional to 708,931.43, 978,320.89 and 403,007.82

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Solution

The fourth proportional to 708,931.43, 978,320.89 and 403,007.82 is: 556,148.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,931.43 : 978,320.89 = 403,007.82 : x
  2. Step 2: Convert to fraction form
    708,931.43/978,320.89 = 403,007.82/x
  3. Step 3: Cross multiply
    708,931.43x = 978,320.89 × 403,007.82
  4. Step 4: Simplify right side
    708,931.43x = 394,270,969,139.36
  5. Step 5: Solve for x
    x = 394,270,969,139.36/708,931.43
  6. Step 6: Final answer
    x = 556,148.24

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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.