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Finding the Fourth Proportional to 390,013, 585,019.50 and 94,525

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Solution

The fourth proportional to 390,013, 585,019.50 and 94,525 is: 141,787.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,013 : 585,019.50 = 94,525 : x
  2. Step 2: Convert to fraction form
    390,013/585,019.50 = 94,525/x
  3. Step 3: Cross multiply
    390,013x = 585,019.50 × 94,525
  4. Step 4: Simplify right side
    390,013x = 55,298,968,237.50
  5. Step 5: Solve for x
    x = 55,298,968,237.50/390,013
  6. Step 6: Final answer
    x = 141,787.50

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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.