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Finding the Fourth Proportional to 704,584.32, 972,314.10 and 428,842.50

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Solution

The fourth proportional to 704,584.32, 972,314.10 and 428,842.50 is: 591,795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,584.32 : 972,314.10 = 428,842.50 : x
  2. Step 2: Convert to fraction form
    704,584.32/972,314.10 = 428,842.50/x
  3. Step 3: Cross multiply
    704,584.32x = 972,314.10 × 428,842.50
  4. Step 4: Simplify right side
    704,584.32x = 416,969,609,429.25
  5. Step 5: Solve for x
    x = 416,969,609,429.25/704,584.32
  6. Step 6: Final answer
    x = 591,795.19

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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.