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Finding the Fourth Proportional to 439,643.60, 659,465.40 and 287,428.40

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Solution

The fourth proportional to 439,643.60, 659,465.40 and 287,428.40 is: 431,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,643.60 : 659,465.40 = 287,428.40 : x
  2. Step 2: Convert to fraction form
    439,643.60/659,465.40 = 287,428.40/x
  3. Step 3: Cross multiply
    439,643.60x = 659,465.40 × 287,428.40
  4. Step 4: Simplify right side
    439,643.60x = 189,549,084,777.36
  5. Step 5: Solve for x
    x = 189,549,084,777.36/439,643.60
  6. Step 6: Final answer
    x = 431,142.60

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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.