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Finding the Fourth Proportional to 842,963.40, 1,264,007.70 and 310,210.20

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Solution

The fourth proportional to 842,963.40, 1,264,007.70 and 310,210.20 is: 465,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,963.40 : 1,264,007.70 = 310,210.20 : x
  2. Step 2: Convert to fraction form
    842,963.40/1,264,007.70 = 310,210.20/x
  3. Step 3: Cross multiply
    842,963.40x = 1,264,007.70 × 310,210.20
  4. Step 4: Simplify right side
    842,963.40x = 392,108,081,418.54
  5. Step 5: Solve for x
    x = 392,108,081,418.54/842,963.40
  6. Step 6: Final answer
    x = 465,154.34

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1.5x scale

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.