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Finding the Fourth Proportional to 306,021.60, 459,032.40 and 278,465.40

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Solution

The fourth proportional to 306,021.60, 459,032.40 and 278,465.40 is: 417,698.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,021.60 : 459,032.40 = 278,465.40 : x
  2. Step 2: Convert to fraction form
    306,021.60/459,032.40 = 278,465.40/x
  3. Step 3: Cross multiply
    306,021.60x = 459,032.40 × 278,465.40
  4. Step 4: Simplify right side
    306,021.60x = 127,824,640,878.96
  5. Step 5: Solve for x
    x = 127,824,640,878.96/306,021.60
  6. Step 6: Final answer
    x = 417,698.10

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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.