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Finding the Fourth Proportional to 458,409.60, 685,670.40 and 411,364.80

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Solution

The fourth proportional to 458,409.60, 685,670.40 and 411,364.80 is: 615,302.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,409.60 : 685,670.40 = 411,364.80 : x
  2. Step 2: Convert to fraction form
    458,409.60/685,670.40 = 411,364.80/x
  3. Step 3: Cross multiply
    458,409.60x = 685,670.40 × 411,364.80
  4. Step 4: Simplify right side
    458,409.60x = 282,060,666,961.92
  5. Step 5: Solve for x
    x = 282,060,666,961.92/458,409.60
  6. Step 6: Final answer
    x = 615,302.71

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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.