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Finding the Fourth Proportional to 708,931.44, 978,320.89 and 403,007.83

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Solution

The fourth proportional to 708,931.44, 978,320.89 and 403,007.83 is: 556,148.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,931.44 : 978,320.89 = 403,007.83 : x
  2. Step 2: Convert to fraction form
    708,931.44/978,320.89 = 403,007.83/x
  3. Step 3: Cross multiply
    708,931.44x = 978,320.89 × 403,007.83
  4. Step 4: Simplify right side
    708,931.44x = 394,270,976,907.53
  5. Step 5: Solve for x
    x = 394,270,976,907.53/708,931.44
  6. Step 6: Final answer
    x = 556,148.25

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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.