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Finding the Fourth Proportional to 760,729, 1,049,838.82 and 421,197.26

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Solution

The fourth proportional to 760,729, 1,049,838.82 and 421,197.26 is: 581,270.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    760,729 : 1,049,838.82 = 421,197.26 : x
  2. Step 2: Convert to fraction form
    760,729/1,049,838.82 = 421,197.26/x
  3. Step 3: Cross multiply
    760,729x = 1,049,838.82 × 421,197.26
  4. Step 4: Simplify right side
    760,729x = 442,189,234,425.63
  5. Step 5: Solve for x
    x = 442,189,234,425.63/760,729
  6. Step 6: Final answer
    x = 581,270.38

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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.