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Finding the Fourth Proportional to 428,609.16, 591,070.32 and 256,497.84

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Solution

The fourth proportional to 428,609.16, 591,070.32 and 256,497.84 is: 353,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,609.16 : 591,070.32 = 256,497.84 : x
  2. Step 2: Convert to fraction form
    428,609.16/591,070.32 = 256,497.84/x
  3. Step 3: Cross multiply
    428,609.16x = 591,070.32 × 256,497.84
  4. Step 4: Simplify right side
    428,609.16x = 151,608,260,368.11
  5. Step 5: Solve for x
    x = 151,608,260,368.11/428,609.16
  6. Step 6: Final answer
    x = 353,721.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.