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Finding the Fourth Proportional to 535,061.81, 738,391.30 and 305,649.47

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Solution

The fourth proportional to 535,061.81, 738,391.30 and 305,649.47 is: 421,799.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,061.81 : 738,391.30 = 305,649.47 : x
  2. Step 2: Convert to fraction form
    535,061.81/738,391.30 = 305,649.47/x
  3. Step 3: Cross multiply
    535,061.81x = 738,391.30 × 305,649.47
  4. Step 4: Simplify right side
    535,061.81x = 225,688,909,497.61
  5. Step 5: Solve for x
    x = 225,688,909,497.61/535,061.81
  6. Step 6: Final answer
    x = 421,799.70

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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.