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Finding the Fourth Proportional to 390,187.10, 584,878.08 and 190,260.47

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Solution

The fourth proportional to 390,187.10, 584,878.08 and 190,260.47 is: 285,194.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,187.10 : 584,878.08 = 190,260.47 : x
  2. Step 2: Convert to fraction form
    390,187.10/584,878.08 = 190,260.47/x
  3. Step 3: Cross multiply
    390,187.10x = 584,878.08 × 190,260.47
  4. Step 4: Simplify right side
    390,187.10x = 111,279,178,393.50
  5. Step 5: Solve for x
    x = 111,279,178,393.50/390,187.10
  6. Step 6: Final answer
    x = 285,194.41

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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.