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Finding the Fourth Proportional to 651,971.60, 978,192.30 and 292,112.90

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Solution

The fourth proportional to 651,971.60, 978,192.30 and 292,112.90 is: 438,274.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,971.60 : 978,192.30 = 292,112.90 : x
  2. Step 2: Convert to fraction form
    651,971.60/978,192.30 = 292,112.90/x
  3. Step 3: Cross multiply
    651,971.60x = 978,192.30 × 292,112.90
  4. Step 4: Simplify right side
    651,971.60x = 285,742,589,510.67
  5. Step 5: Solve for x
    x = 285,742,589,510.67/651,971.60
  6. Step 6: Final answer
    x = 438,274.60

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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.