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Finding the Fourth Proportional to 288,908.60, 433,362.90 and 194,430.20

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Solution

The fourth proportional to 288,908.60, 433,362.90 and 194,430.20 is: 291,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,908.60 : 433,362.90 = 194,430.20 : x
  2. Step 2: Convert to fraction form
    288,908.60/433,362.90 = 194,430.20/x
  3. Step 3: Cross multiply
    288,908.60x = 433,362.90 × 194,430.20
  4. Step 4: Simplify right side
    288,908.60x = 84,258,835,319.58
  5. Step 5: Solve for x
    x = 84,258,835,319.58/288,908.60
  6. Step 6: Final answer
    x = 291,645.30

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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.