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Finding the Fourth Proportional to 423,512.80, 584,280.97 and 242,127.28

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Solution

The fourth proportional to 423,512.80, 584,280.97 and 242,127.28 is: 334,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,512.80 : 584,280.97 = 242,127.28 : x
  2. Step 2: Convert to fraction form
    423,512.80/584,280.97 = 242,127.28/x
  3. Step 3: Cross multiply
    423,512.80x = 584,280.97 × 242,127.28
  4. Step 4: Simplify right side
    423,512.80x = 141,470,362,021.86
  5. Step 5: Solve for x
    x = 141,470,362,021.86/423,512.80
  6. Step 6: Final answer
    x = 334,040.35

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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.