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Finding the Fourth Proportional to 315,644.90, 473,467.35 and 209,356.70

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Solution

The fourth proportional to 315,644.90, 473,467.35 and 209,356.70 is: 314,035.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,644.90 : 473,467.35 = 209,356.70 : x
  2. Step 2: Convert to fraction form
    315,644.90/473,467.35 = 209,356.70/x
  3. Step 3: Cross multiply
    315,644.90x = 473,467.35 × 209,356.70
  4. Step 4: Simplify right side
    315,644.90x = 99,123,561,953.75
  5. Step 5: Solve for x
    x = 99,123,561,953.75/315,644.90
  6. Step 6: Final answer
    x = 314,035.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.