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Finding the Fourth Proportional to 285,963, 428,973.66 and 98,973.96

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Solution

The fourth proportional to 285,963, 428,973.66 and 98,973.96 is: 148,471.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,963 : 428,973.66 = 98,973.96 : x
  2. Step 2: Convert to fraction form
    285,963/428,973.66 = 98,973.96/x
  3. Step 3: Cross multiply
    285,963x = 428,973.66 × 98,973.96
  4. Step 4: Simplify right side
    285,963x = 42,457,221,865.89
  5. Step 5: Solve for x
    x = 42,457,221,865.89/285,963
  6. Step 6: Final answer
    x = 148,471.03

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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.