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Finding the Fourth Proportional to 315,202.10, 472,803.15 and 157,738.10

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Solution

The fourth proportional to 315,202.10, 472,803.15 and 157,738.10 is: 236,607.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,202.10 : 472,803.15 = 157,738.10 : x
  2. Step 2: Convert to fraction form
    315,202.10/472,803.15 = 157,738.10/x
  3. Step 3: Cross multiply
    315,202.10x = 472,803.15 × 157,738.10
  4. Step 4: Simplify right side
    315,202.10x = 74,579,070,555.02
  5. Step 5: Solve for x
    x = 74,579,070,555.02/315,202.10
  6. Step 6: Final answer
    x = 236,607.15

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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.