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Finding the Fourth Proportional to 369,705.43, 510,217.12 and 208,501.66

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Solution

The fourth proportional to 369,705.43, 510,217.12 and 208,501.66 is: 287,745.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,705.43 : 510,217.12 = 208,501.66 : x
  2. Step 2: Convert to fraction form
    369,705.43/510,217.12 = 208,501.66/x
  3. Step 3: Cross multiply
    369,705.43x = 510,217.12 × 208,501.66
  4. Step 4: Simplify right side
    369,705.43x = 106,381,115,437.91
  5. Step 5: Solve for x
    x = 106,381,115,437.91/369,705.43
  6. Step 6: Final answer
    x = 287,745.61

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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.