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Finding the Fourth Proportional to 390,048, 585,072 and 94,560

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Solution

The fourth proportional to 390,048, 585,072 and 94,560 is: 141,840

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,048 : 585,072 = 94,560 : x
  2. Step 2: Convert to fraction form
    390,048/585,072 = 94,560/x
  3. Step 3: Cross multiply
    390,048x = 585,072 × 94,560
  4. Step 4: Simplify right side
    390,048x = 55,324,408,320
  5. Step 5: Solve for x
    x = 55,324,408,320/390,048
  6. Step 6: Final answer
    x = 141,840

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.