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Finding the Fourth Proportional to 390,011, 585,016.50 and 94,523

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Solution

The fourth proportional to 390,011, 585,016.50 and 94,523 is: 141,784.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,011 : 585,016.50 = 94,523 : x
  2. Step 2: Convert to fraction form
    390,011/585,016.50 = 94,523/x
  3. Step 3: Cross multiply
    390,011x = 585,016.50 × 94,523
  4. Step 4: Simplify right side
    390,011x = 55,297,514,629.50
  5. Step 5: Solve for x
    x = 55,297,514,629.50/390,011
  6. Step 6: Final answer
    x = 141,784.50

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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.