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Finding the Fourth Proportional to 500,216.37, 688,843 and 434,775.86

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Solution

The fourth proportional to 500,216.37, 688,843 and 434,775.86 is: 598,725.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,216.37 : 688,843 = 434,775.86 : x
  2. Step 2: Convert to fraction form
    500,216.37/688,843 = 434,775.86/x
  3. Step 3: Cross multiply
    500,216.37x = 688,843 × 434,775.86
  4. Step 4: Simplify right side
    500,216.37x = 299,492,307,729.98
  5. Step 5: Solve for x
    x = 299,492,307,729.98/500,216.37
  6. Step 6: Final answer
    x = 598,725.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.