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Finding the Fourth Proportional to 810,395.84, 1,118,362.20 and 524,414

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Solution

The fourth proportional to 810,395.84, 1,118,362.20 and 524,414 is: 723,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,395.84 : 1,118,362.20 = 524,414 : x
  2. Step 2: Convert to fraction form
    810,395.84/1,118,362.20 = 524,414/x
  3. Step 3: Cross multiply
    810,395.84x = 1,118,362.20 × 524,414
  4. Step 4: Simplify right side
    810,395.84x = 586,484,794,750.80
  5. Step 5: Solve for x
    x = 586,484,794,750.80/810,395.84
  6. Step 6: Final answer
    x = 723,701.64

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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.