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Finding the Fourth Proportional to 315,441.47, 435,465.32 and 194,649.28

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Solution

The fourth proportional to 315,441.47, 435,465.32 and 194,649.28 is: 268,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,441.47 : 435,465.32 = 194,649.28 : x
  2. Step 2: Convert to fraction form
    315,441.47/435,465.32 = 194,649.28/x
  3. Step 3: Cross multiply
    315,441.47x = 435,465.32 × 194,649.28
  4. Step 4: Simplify right side
    315,441.47x = 84,763,008,941.06
  5. Step 5: Solve for x
    x = 84,763,008,941.06/315,441.47
  6. Step 6: Final answer
    x = 268,712.32

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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.