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Finding the Fourth Proportional to 289,987.40, 434,981.10 and 278,323.40

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Solution

The fourth proportional to 289,987.40, 434,981.10 and 278,323.40 is: 417,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,987.40 : 434,981.10 = 278,323.40 : x
  2. Step 2: Convert to fraction form
    289,987.40/434,981.10 = 278,323.40/x
  3. Step 3: Cross multiply
    289,987.40x = 434,981.10 × 278,323.40
  4. Step 4: Simplify right side
    289,987.40x = 121,065,418,687.74
  5. Step 5: Solve for x
    x = 121,065,418,687.74/289,987.40
  6. Step 6: Final answer
    x = 417,485.10

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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.