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Finding the Fourth Proportional to 315,440.48, 473,236 and 105,080.16

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Solution

The fourth proportional to 315,440.48, 473,236 and 105,080.16 is: 157,645.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,440.48 : 473,236 = 105,080.16 : x
  2. Step 2: Convert to fraction form
    315,440.48/473,236 = 105,080.16/x
  3. Step 3: Cross multiply
    315,440.48x = 473,236 × 105,080.16
  4. Step 4: Simplify right side
    315,440.48x = 49,727,714,597.76
  5. Step 5: Solve for x
    x = 49,727,714,597.76/315,440.48
  6. Step 6: Final answer
    x = 157,645.32

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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.