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Finding the Fourth Proportional to 312,534.45, 469,548.90 and 200,434.30

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Solution

The fourth proportional to 312,534.45, 469,548.90 and 200,434.30 is: 301,130.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,534.45 : 469,548.90 = 200,434.30 : x
  2. Step 2: Convert to fraction form
    312,534.45/469,548.90 = 200,434.30/x
  3. Step 3: Cross multiply
    312,534.45x = 469,548.90 × 200,434.30
  4. Step 4: Simplify right side
    312,534.45x = 94,113,703,913.40
  5. Step 5: Solve for x
    x = 94,113,703,913.40/312,534.45
  6. Step 6: Final answer
    x = 301,130.66

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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.