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Finding the Fourth Proportional to 278,465.80, 417,698.70 and 91,477.30

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Solution

The fourth proportional to 278,465.80, 417,698.70 and 91,477.30 is: 137,215.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,465.80 : 417,698.70 = 91,477.30 : x
  2. Step 2: Convert to fraction form
    278,465.80/417,698.70 = 91,477.30/x
  3. Step 3: Cross multiply
    278,465.80x = 417,698.70 × 91,477.30
  4. Step 4: Simplify right side
    278,465.80x = 38,209,949,289.51
  5. Step 5: Solve for x
    x = 38,209,949,289.51/278,465.80
  6. Step 6: Final answer
    x = 137,215.95

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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.