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Finding the Fourth Proportional to 380,326.96, 569,649.53 and 260,098.98

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Solution

The fourth proportional to 380,326.96, 569,649.53 and 260,098.98 is: 389,573.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,326.96 : 569,649.53 = 260,098.98 : x
  2. Step 2: Convert to fraction form
    380,326.96/569,649.53 = 260,098.98/x
  3. Step 3: Cross multiply
    380,326.96x = 569,649.53 × 260,098.98
  4. Step 4: Simplify right side
    380,326.96x = 148,165,261,965.76
  5. Step 5: Solve for x
    x = 148,165,261,965.76/380,326.96
  6. Step 6: Final answer
    x = 389,573.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.