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Finding the Fourth Proportional to 287,222.80, 430,853.40 and 97,680.40

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Solution

The fourth proportional to 287,222.80, 430,853.40 and 97,680.40 is: 146,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,222.80 : 430,853.40 = 97,680.40 : x
  2. Step 2: Convert to fraction form
    287,222.80/430,853.40 = 97,680.40/x
  3. Step 3: Cross multiply
    287,222.80x = 430,853.40 × 97,680.40
  4. Step 4: Simplify right side
    287,222.80x = 42,085,932,453.36
  5. Step 5: Solve for x
    x = 42,085,932,453.36/287,222.80
  6. Step 6: Final answer
    x = 146,527.13

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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.