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Finding the Fourth Proportional to 369,705.52, 510,217.25 and 208,501.75

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Solution

The fourth proportional to 369,705.52, 510,217.25 and 208,501.75 is: 287,745.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,705.52 : 510,217.25 = 208,501.75 : x
  2. Step 2: Convert to fraction form
    369,705.52/510,217.25 = 208,501.75/x
  3. Step 3: Cross multiply
    369,705.52x = 510,217.25 × 208,501.75
  4. Step 4: Simplify right side
    369,705.52x = 106,381,189,100.45
  5. Step 5: Solve for x
    x = 106,381,189,100.45/369,705.52
  6. Step 6: Final answer
    x = 287,745.74

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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.