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Finding the Fourth Proportional to 305,215.60, 457,823.40 and 288,012.40

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Solution

The fourth proportional to 305,215.60, 457,823.40 and 288,012.40 is: 432,018.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,215.60 : 457,823.40 = 288,012.40 : x
  2. Step 2: Convert to fraction form
    305,215.60/457,823.40 = 288,012.40/x
  3. Step 3: Cross multiply
    305,215.60x = 457,823.40 × 288,012.40
  4. Step 4: Simplify right side
    305,215.60x = 131,858,816,210.16
  5. Step 5: Solve for x
    x = 131,858,816,210.16/305,215.60
  6. Step 6: Final answer
    x = 432,018.60

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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.