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Finding the Fourth Proportional to 285,802.31, 428,730.80 and 108,261.65

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Solution

The fourth proportional to 285,802.31, 428,730.80 and 108,261.65 is: 162,402.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,802.31 : 428,730.80 = 108,261.65 : x
  2. Step 2: Convert to fraction form
    285,802.31/428,730.80 = 108,261.65/x
  3. Step 3: Cross multiply
    285,802.31x = 428,730.80 × 108,261.65
  4. Step 4: Simplify right side
    285,802.31x = 46,415,101,128.86
  5. Step 5: Solve for x
    x = 46,415,101,128.86/285,802.31
  6. Step 6: Final answer
    x = 162,402.82

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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.