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Finding the Fourth Proportional to 382,647.92, 528,782.40 and 286,988.54

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Solution

The fourth proportional to 382,647.92, 528,782.40 and 286,988.54 is: 396,590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,647.92 : 528,782.40 = 286,988.54 : x
  2. Step 2: Convert to fraction form
    382,647.92/528,782.40 = 286,988.54/x
  3. Step 3: Cross multiply
    382,647.92x = 528,782.40 × 286,988.54
  4. Step 4: Simplify right side
    382,647.92x = 151,754,488,953.70
  5. Step 5: Solve for x
    x = 151,754,488,953.70/382,647.92
  6. Step 6: Final answer
    x = 396,590.39

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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.