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Finding the Fourth Proportional to 203,476.40, 305,506.20 and 153,904.40

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Solution

The fourth proportional to 203,476.40, 305,506.20 and 153,904.40 is: 231,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,476.40 : 305,506.20 = 153,904.40 : x
  2. Step 2: Convert to fraction form
    203,476.40/305,506.20 = 153,904.40/x
  3. Step 3: Cross multiply
    203,476.40x = 305,506.20 × 153,904.40
  4. Step 4: Simplify right side
    203,476.40x = 47,018,748,407.28
  5. Step 5: Solve for x
    x = 47,018,748,407.28/203,476.40
  6. Step 6: Final answer
    x = 231,077.16

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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.