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Finding the Fourth Proportional to 288,605.84, 398,018.21 and 181,185.89

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Solution

The fourth proportional to 288,605.84, 398,018.21 and 181,185.89 is: 249,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,605.84 : 398,018.21 = 181,185.89 : x
  2. Step 2: Convert to fraction form
    288,605.84/398,018.21 = 181,185.89/x
  3. Step 3: Cross multiply
    288,605.84x = 398,018.21 × 181,185.89
  4. Step 4: Simplify right side
    288,605.84x = 72,115,280,719.04
  5. Step 5: Solve for x
    x = 72,115,280,719.04/288,605.84
  6. Step 6: Final answer
    x = 249,874.65

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1.5x scale

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.