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Finding the Fourth Proportional to 390,670.08, 586,019.52 and 110,194.80

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Solution

The fourth proportional to 390,670.08, 586,019.52 and 110,194.80 is: 165,296.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,670.08 : 586,019.52 = 110,194.80 : x
  2. Step 2: Convert to fraction form
    390,670.08/586,019.52 = 110,194.80/x
  3. Step 3: Cross multiply
    390,670.08x = 586,019.52 × 110,194.80
  4. Step 4: Simplify right side
    390,670.08x = 64,576,303,802.50
  5. Step 5: Solve for x
    x = 64,576,303,802.50/390,670.08
  6. Step 6: Final answer
    x = 165,296.26

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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.