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Finding the Fourth Proportional to 290,319.68, 435,475.66 and 140,573.36

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Solution

The fourth proportional to 290,319.68, 435,475.66 and 140,573.36 is: 210,858.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,319.68 : 435,475.66 = 140,573.36 : x
  2. Step 2: Convert to fraction form
    290,319.68/435,475.66 = 140,573.36/x
  3. Step 3: Cross multiply
    290,319.68x = 435,475.66 × 140,573.36
  4. Step 4: Simplify right side
    290,319.68x = 61,216,276,724.42
  5. Step 5: Solve for x
    x = 61,216,276,724.42/290,319.68
  6. Step 6: Final answer
    x = 210,858.17

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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.