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Finding the Fourth Proportional to 617,664.40, 852,337.24 and 345,686.40

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Solution

The fourth proportional to 617,664.40, 852,337.24 and 345,686.40 is: 477,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,664.40 : 852,337.24 = 345,686.40 : x
  2. Step 2: Convert to fraction form
    617,664.40/852,337.24 = 345,686.40/x
  3. Step 3: Cross multiply
    617,664.40x = 852,337.24 × 345,686.40
  4. Step 4: Simplify right side
    617,664.40x = 294,641,392,081.54
  5. Step 5: Solve for x
    x = 294,641,392,081.54/617,664.40
  6. Step 6: Final answer
    x = 477,025.05

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1.5x scale

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.