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Finding the Fourth Proportional to 475,640.16, 712,509.66 and 285,996.71

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Solution

The fourth proportional to 475,640.16, 712,509.66 and 285,996.71 is: 428,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,640.16 : 712,509.66 = 285,996.71 : x
  2. Step 2: Convert to fraction form
    475,640.16/712,509.66 = 285,996.71/x
  3. Step 3: Cross multiply
    475,640.16x = 712,509.66 × 285,996.71
  4. Step 4: Simplify right side
    475,640.16x = 203,775,415,040.67
  5. Step 5: Solve for x
    x = 203,775,415,040.67/475,640.16
  6. Step 6: Final answer
    x = 428,423.49

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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.