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Finding the Fourth Proportional to 369,706.37, 510,218.42 and 208,502.60

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Solution

The fourth proportional to 369,706.37, 510,218.42 and 208,502.60 is: 287,746.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,706.37 : 510,218.42 = 208,502.60 : x
  2. Step 2: Convert to fraction form
    369,706.37/510,218.42 = 208,502.60/x
  3. Step 3: Cross multiply
    369,706.37x = 510,218.42 × 208,502.60
  4. Step 4: Simplify right side
    369,706.37x = 106,381,863,544.29
  5. Step 5: Solve for x
    x = 106,381,863,544.29/369,706.37
  6. Step 6: Final answer
    x = 287,746.91

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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.