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Finding the Fourth Proportional to 292,215.60, 438,323.40 and 280,405.80

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Solution

The fourth proportional to 292,215.60, 438,323.40 and 280,405.80 is: 420,608.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215.60 : 438,323.40 = 280,405.80 : x
  2. Step 2: Convert to fraction form
    292,215.60/438,323.40 = 280,405.80/x
  3. Step 3: Cross multiply
    292,215.60x = 438,323.40 × 280,405.80
  4. Step 4: Simplify right side
    292,215.60x = 122,908,423,635.72
  5. Step 5: Solve for x
    x = 122,908,423,635.72/292,215.60
  6. Step 6: Final answer
    x = 420,608.70

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1.5x scale

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.