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Finding the Fourth Proportional to 509,148.75, 702,647.16 and 282,794.25

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Solution

The fourth proportional to 509,148.75, 702,647.16 and 282,794.25 is: 390,268.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,148.75 : 702,647.16 = 282,794.25 : x
  2. Step 2: Convert to fraction form
    509,148.75/702,647.16 = 282,794.25/x
  3. Step 3: Cross multiply
    509,148.75x = 702,647.16 × 282,794.25
  4. Step 4: Simplify right side
    509,148.75x = 198,704,576,626.83
  5. Step 5: Solve for x
    x = 198,704,576,626.83/509,148.75
  6. Step 6: Final answer
    x = 390,268.22

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Double scale
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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.