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Finding the Fourth Proportional to 391,488, 540,253.98 and 212,640

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Solution

The fourth proportional to 391,488, 540,253.98 and 212,640 is: 293,443.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,488 : 540,253.98 = 212,640 : x
  2. Step 2: Convert to fraction form
    391,488/540,253.98 = 212,640/x
  3. Step 3: Cross multiply
    391,488x = 540,253.98 × 212,640
  4. Step 4: Simplify right side
    391,488x = 114,879,606,307.20
  5. Step 5: Solve for x
    x = 114,879,606,307.20/391,488
  6. Step 6: Final answer
    x = 293,443.49

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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.