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Finding the Fourth Proportional to 371,073.42, 512,038.08 and 207,738.78

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Solution

The fourth proportional to 371,073.42, 512,038.08 and 207,738.78 is: 286,655.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,073.42 : 512,038.08 = 207,738.78 : x
  2. Step 2: Convert to fraction form
    371,073.42/512,038.08 = 207,738.78/x
  3. Step 3: Cross multiply
    371,073.42x = 512,038.08 × 207,738.78
  4. Step 4: Simplify right side
    371,073.42x = 106,370,166,052.74
  5. Step 5: Solve for x
    x = 106,370,166,052.74/371,073.42
  6. Step 6: Final answer
    x = 286,655.31

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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.