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Finding the Fourth Proportional to 285,053.40, 427,407.30 and 142,733.16

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Solution

The fourth proportional to 285,053.40, 427,407.30 and 142,733.16 is: 214,013.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,053.40 : 427,407.30 = 142,733.16 : x
  2. Step 2: Convert to fraction form
    285,053.40/427,407.30 = 142,733.16/x
  3. Step 3: Cross multiply
    285,053.40x = 427,407.30 × 142,733.16
  4. Step 4: Simplify right side
    285,053.40x = 61,005,194,536.07
  5. Step 5: Solve for x
    x = 61,005,194,536.07/285,053.40
  6. Step 6: Final answer
    x = 214,013.21

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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.