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Finding the Fourth Proportional to 288,653.11, 433,050.05 and 203,430.12

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Solution

The fourth proportional to 288,653.11, 433,050.05 and 203,430.12 is: 305,194.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,653.11 : 433,050.05 = 203,430.12 : x
  2. Step 2: Convert to fraction form
    288,653.11/433,050.05 = 203,430.12/x
  3. Step 3: Cross multiply
    288,653.11x = 433,050.05 × 203,430.12
  4. Step 4: Simplify right side
    288,653.11x = 88,095,423,637.51
  5. Step 5: Solve for x
    x = 88,095,423,637.51/288,653.11
  6. Step 6: Final answer
    x = 305,194.78

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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.