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Finding the Fourth Proportional to 509,627.80, 763,923.30 and 299,157.40

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Solution

The fourth proportional to 509,627.80, 763,923.30 and 299,157.40 is: 448,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,627.80 : 763,923.30 = 299,157.40 : x
  2. Step 2: Convert to fraction form
    509,627.80/763,923.30 = 299,157.40/x
  3. Step 3: Cross multiply
    509,627.80x = 763,923.30 × 299,157.40
  4. Step 4: Simplify right side
    509,627.80x = 228,533,308,227.42
  5. Step 5: Solve for x
    x = 228,533,308,227.42/509,627.80
  6. Step 6: Final answer
    x = 448,431.79

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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.