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Finding the Fourth Proportional to 436,585, 654,986.50 and 152,279.64

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Solution

The fourth proportional to 436,585, 654,986.50 and 152,279.64 is: 228,457.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,585 : 654,986.50 = 152,279.64 : x
  2. Step 2: Convert to fraction form
    436,585/654,986.50 = 152,279.64/x
  3. Step 3: Cross multiply
    436,585x = 654,986.50 × 152,279.64
  4. Step 4: Simplify right side
    436,585x = 99,741,108,424.86
  5. Step 5: Solve for x
    x = 99,741,108,424.86/436,585
  6. Step 6: Final answer
    x = 228,457.48

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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.