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Finding the Fourth Proportional to 290,271.60, 435,407.40 and 219,412.80

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Solution

The fourth proportional to 290,271.60, 435,407.40 and 219,412.80 is: 329,119.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,271.60 : 435,407.40 = 219,412.80 : x
  2. Step 2: Convert to fraction form
    290,271.60/435,407.40 = 219,412.80/x
  3. Step 3: Cross multiply
    290,271.60x = 435,407.40 × 219,412.80
  4. Step 4: Simplify right side
    290,271.60x = 95,533,956,774.72
  5. Step 5: Solve for x
    x = 95,533,956,774.72/290,271.60
  6. Step 6: Final answer
    x = 329,119.20

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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.