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Finding the Fourth Proportional to 312,007.80, 430,533.72 and 176,033.82

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Solution

The fourth proportional to 312,007.80, 430,533.72 and 176,033.82 is: 242,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,007.80 : 430,533.72 = 176,033.82 : x
  2. Step 2: Convert to fraction form
    312,007.80/430,533.72 = 176,033.82/x
  3. Step 3: Cross multiply
    312,007.80x = 430,533.72 × 176,033.82
  4. Step 4: Simplify right side
    312,007.80x = 75,788,495,370.41
  5. Step 5: Solve for x
    x = 75,788,495,370.41/312,007.80
  6. Step 6: Final answer
    x = 242,905.77

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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.