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Finding the Fourth Proportional to 389,710.81, 537,314.50 and 297,943.82

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Solution

The fourth proportional to 389,710.81, 537,314.50 and 297,943.82 is: 410,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,710.81 : 537,314.50 = 297,943.82 : x
  2. Step 2: Convert to fraction form
    389,710.81/537,314.50 = 297,943.82/x
  3. Step 3: Cross multiply
    389,710.81x = 537,314.50 × 297,943.82
  4. Step 4: Simplify right side
    389,710.81x = 160,089,534,671.39
  5. Step 5: Solve for x
    x = 160,089,534,671.39/389,710.81
  6. Step 6: Final answer
    x = 410,790.59

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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.