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Finding the Fourth Proportional to 391,408, 540,143.04 and 212,560

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Solution

The fourth proportional to 391,408, 540,143.04 and 212,560 is: 293,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,408 : 540,143.04 = 212,560 : x
  2. Step 2: Convert to fraction form
    391,408/540,143.04 = 212,560/x
  3. Step 3: Cross multiply
    391,408x = 540,143.04 × 212,560
  4. Step 4: Simplify right side
    391,408x = 114,812,804,582.40
  5. Step 5: Solve for x
    x = 114,812,804,582.40/391,408
  6. Step 6: Final answer
    x = 293,332.80

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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.