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Finding the Fourth Proportional to 383,466.81, 530,140.80 and 287,807.43

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Solution

The fourth proportional to 383,466.81, 530,140.80 and 287,807.43 is: 397,892.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,466.81 : 530,140.80 = 287,807.43 : x
  2. Step 2: Convert to fraction form
    383,466.81/530,140.80 = 287,807.43/x
  3. Step 3: Cross multiply
    383,466.81x = 530,140.80 × 287,807.43
  4. Step 4: Simplify right side
    383,466.81x = 152,578,461,186.14
  5. Step 5: Solve for x
    x = 152,578,461,186.14/383,466.81
  6. Step 6: Final answer
    x = 397,892.22

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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.