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Finding the Fourth Proportional to 311,210.40, 466,815.60 and 153,746.40

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Solution

The fourth proportional to 311,210.40, 466,815.60 and 153,746.40 is: 230,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,210.40 : 466,815.60 = 153,746.40 : x
  2. Step 2: Convert to fraction form
    311,210.40/466,815.60 = 153,746.40/x
  3. Step 3: Cross multiply
    311,210.40x = 466,815.60 × 153,746.40
  4. Step 4: Simplify right side
    311,210.40x = 71,771,217,963.84
  5. Step 5: Solve for x
    x = 71,771,217,963.84/311,210.40
  6. Step 6: Final answer
    x = 230,619.60

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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.