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Finding the Fourth Proportional to 305,643.60, 458,465.40 and 288,147.60

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Solution

The fourth proportional to 305,643.60, 458,465.40 and 288,147.60 is: 432,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,643.60 : 458,465.40 = 288,147.60 : x
  2. Step 2: Convert to fraction form
    305,643.60/458,465.40 = 288,147.60/x
  3. Step 3: Cross multiply
    305,643.60x = 458,465.40 × 288,147.60
  4. Step 4: Simplify right side
    305,643.60x = 132,105,704,693.04
  5. Step 5: Solve for x
    x = 132,105,704,693.04/305,643.60
  6. Step 6: Final answer
    x = 432,221.40

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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.