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Finding the Fourth Proportional to 427,018.12, 589,307.70 and 245,757.64

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Solution

The fourth proportional to 427,018.12, 589,307.70 and 245,757.64 is: 339,158.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,018.12 : 589,307.70 = 245,757.64 : x
  2. Step 2: Convert to fraction form
    427,018.12/589,307.70 = 245,757.64/x
  3. Step 3: Cross multiply
    427,018.12x = 589,307.70 × 245,757.64
  4. Step 4: Simplify right side
    427,018.12x = 144,826,869,585.83
  5. Step 5: Solve for x
    x = 144,826,869,585.83/427,018.12
  6. Step 6: Final answer
    x = 339,158.60

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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.