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Finding the Fourth Proportional to 228,014.28, 314,657.46 and 127,412.28

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Solution

The fourth proportional to 228,014.28, 314,657.46 and 127,412.28 is: 175,827.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,014.28 : 314,657.46 = 127,412.28 : x
  2. Step 2: Convert to fraction form
    228,014.28/314,657.46 = 127,412.28/x
  3. Step 3: Cross multiply
    228,014.28x = 314,657.46 × 127,412.28
  4. Step 4: Simplify right side
    228,014.28x = 40,091,224,397.61
  5. Step 5: Solve for x
    x = 40,091,224,397.61/228,014.28
  6. Step 6: Final answer
    x = 175,827.69

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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.