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Finding the Fourth Proportional to 287,048.88, 430,617.06 and 146,760.12

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Solution

The fourth proportional to 287,048.88, 430,617.06 and 146,760.12 is: 220,162.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,048.88 : 430,617.06 = 146,760.12 : x
  2. Step 2: Convert to fraction form
    287,048.88/430,617.06 = 146,760.12/x
  3. Step 3: Cross multiply
    287,048.88x = 430,617.06 × 146,760.12
  4. Step 4: Simplify right side
    287,048.88x = 63,197,411,399.65
  5. Step 5: Solve for x
    x = 63,197,411,399.65/287,048.88
  6. Step 6: Final answer
    x = 220,162.54

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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.