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Finding the Fourth Proportional to 235,470.40, 353,205.60 and 209,809.60

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Solution

The fourth proportional to 235,470.40, 353,205.60 and 209,809.60 is: 314,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,470.40 : 353,205.60 = 209,809.60 : x
  2. Step 2: Convert to fraction form
    235,470.40/353,205.60 = 209,809.60/x
  3. Step 3: Cross multiply
    235,470.40x = 353,205.60 × 209,809.60
  4. Step 4: Simplify right side
    235,470.40x = 74,105,925,653.76
  5. Step 5: Solve for x
    x = 74,105,925,653.76/235,470.40
  6. Step 6: Final answer
    x = 314,714.40

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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.