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Finding the Fourth Proportional to 371,038.80, 512,033.70 and 209,890.40

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Solution

The fourth proportional to 371,038.80, 512,033.70 and 209,890.40 is: 289,648.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,038.80 : 512,033.70 = 209,890.40 : x
  2. Step 2: Convert to fraction form
    371,038.80/512,033.70 = 209,890.40/x
  3. Step 3: Cross multiply
    371,038.80x = 512,033.70 × 209,890.40
  4. Step 4: Simplify right side
    371,038.80x = 107,470,958,106.48
  5. Step 5: Solve for x
    x = 107,470,958,106.48/371,038.80
  6. Step 6: Final answer
    x = 289,648.84

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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.