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Finding the Fourth Proportional to 470,132, 648,782.16 and 268,928

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Solution

The fourth proportional to 470,132, 648,782.16 and 268,928 is: 371,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,132 : 648,782.16 = 268,928 : x
  2. Step 2: Convert to fraction form
    470,132/648,782.16 = 268,928/x
  3. Step 3: Cross multiply
    470,132x = 648,782.16 × 268,928
  4. Step 4: Simplify right side
    470,132x = 174,475,688,724.48
  5. Step 5: Solve for x
    x = 174,475,688,724.48/470,132
  6. Step 6: Final answer
    x = 371,120.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.