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Finding the Fourth Proportional to 380,762.16, 525,445.48 and 208,678.80

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Solution

The fourth proportional to 380,762.16, 525,445.48 and 208,678.80 is: 287,973.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,762.16 : 525,445.48 = 208,678.80 : x
  2. Step 2: Convert to fraction form
    380,762.16/525,445.48 = 208,678.80/x
  3. Step 3: Cross multiply
    380,762.16x = 525,445.48 × 208,678.80
  4. Step 4: Simplify right side
    380,762.16x = 109,649,332,231.82
  5. Step 5: Solve for x
    x = 109,649,332,231.82/380,762.16
  6. Step 6: Final answer
    x = 287,973.29

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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.