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Finding the Fourth Proportional to 586,443.84, 809,297.44 and 318,173.76

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Solution

The fourth proportional to 586,443.84, 809,297.44 and 318,173.76 is: 439,082.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,443.84 : 809,297.44 = 318,173.76 : x
  2. Step 2: Convert to fraction form
    586,443.84/809,297.44 = 318,173.76/x
  3. Step 3: Cross multiply
    586,443.84x = 809,297.44 × 318,173.76
  4. Step 4: Simplify right side
    586,443.84x = 257,497,209,443.17
  5. Step 5: Solve for x
    x = 257,497,209,443.17/586,443.84
  6. Step 6: Final answer
    x = 439,082.47

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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.