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Finding the Fourth Proportional to 315,173.42, 472,401.77 and 277,148.17

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Solution

The fourth proportional to 315,173.42, 472,401.77 and 277,148.17 is: 415,407.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,173.42 : 472,401.77 = 277,148.17 : x
  2. Step 2: Convert to fraction form
    315,173.42/472,401.77 = 277,148.17/x
  3. Step 3: Cross multiply
    315,173.42x = 472,401.77 × 277,148.17
  4. Step 4: Simplify right side
    315,173.42x = 130,925,286,060.26
  5. Step 5: Solve for x
    x = 130,925,286,060.26/315,173.42
  6. Step 6: Final answer
    x = 415,407.14

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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.