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Finding the Fourth Proportional to 713,325.98, 984,460.28 and 407,448.11

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Solution

The fourth proportional to 713,325.98, 984,460.28 and 407,448.11 is: 562,318.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,325.98 : 984,460.28 = 407,448.11 : x
  2. Step 2: Convert to fraction form
    713,325.98/984,460.28 = 407,448.11/x
  3. Step 3: Cross multiply
    713,325.98x = 984,460.28 × 407,448.11
  4. Step 4: Simplify right side
    713,325.98x = 401,116,473,496.53
  5. Step 5: Solve for x
    x = 401,116,473,496.53/713,325.98
  6. Step 6: Final answer
    x = 562,318.61

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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.