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Finding the Fourth Proportional to 370,108.74, 510,745.58 and 208,970.58

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Solution

The fourth proportional to 370,108.74, 510,745.58 and 208,970.58 is: 288,376.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,108.74 : 510,745.58 = 208,970.58 : x
  2. Step 2: Convert to fraction form
    370,108.74/510,745.58 = 208,970.58/x
  3. Step 3: Cross multiply
    370,108.74x = 510,745.58 × 208,970.58
  4. Step 4: Simplify right side
    370,108.74x = 106,730,799,040.18
  5. Step 5: Solve for x
    x = 106,730,799,040.18/370,108.74
  6. Step 6: Final answer
    x = 288,376.87

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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.