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Finding the Fourth Proportional to 648,374.60, 972,101.10 and 293,558.60

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Solution

The fourth proportional to 648,374.60, 972,101.10 and 293,558.60 is: 440,129.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,374.60 : 972,101.10 = 293,558.60 : x
  2. Step 2: Convert to fraction form
    648,374.60/972,101.10 = 293,558.60/x
  3. Step 3: Cross multiply
    648,374.60x = 972,101.10 × 293,558.60
  4. Step 4: Simplify right side
    648,374.60x = 285,368,637,974.46
  5. Step 5: Solve for x
    x = 285,368,637,974.46/648,374.60
  6. Step 6: Final answer
    x = 440,129.27

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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.