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Finding the Fourth Proportional to 285,914.48, 429,011.45 and 202,212.53

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Solution

The fourth proportional to 285,914.48, 429,011.45 and 202,212.53 is: 303,417.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,914.48 : 429,011.45 = 202,212.53 : x
  2. Step 2: Convert to fraction form
    285,914.48/429,011.45 = 202,212.53/x
  3. Step 3: Cross multiply
    285,914.48x = 429,011.45 × 202,212.53
  4. Step 4: Simplify right side
    285,914.48x = 86,751,487,547.35
  5. Step 5: Solve for x
    x = 86,751,487,547.35/285,914.48
  6. Step 6: Final answer
    x = 303,417.61

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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.