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Finding the Fourth Proportional to 371,037.80, 512,032.32 and 209,889.40

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Solution

The fourth proportional to 371,037.80, 512,032.32 and 209,889.40 is: 289,647.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,037.80 : 512,032.32 = 209,889.40 : x
  2. Step 2: Convert to fraction form
    371,037.80/512,032.32 = 209,889.40/x
  3. Step 3: Cross multiply
    371,037.80x = 512,032.32 × 209,889.40
  4. Step 4: Simplify right side
    371,037.80x = 107,470,156,425.41
  5. Step 5: Solve for x
    x = 107,470,156,425.41/371,037.80
  6. Step 6: Final answer
    x = 289,647.46

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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.