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Finding the Fourth Proportional to 509,953.59, 763,043.60 and 307,667.03

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Solution

The fourth proportional to 509,953.59, 763,043.60 and 307,667.03 is: 460,362.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,953.59 : 763,043.60 = 307,667.03 : x
  2. Step 2: Convert to fraction form
    509,953.59/763,043.60 = 307,667.03/x
  3. Step 3: Cross multiply
    509,953.59x = 763,043.60 × 307,667.03
  4. Step 4: Simplify right side
    509,953.59x = 234,763,355,126.46
  5. Step 5: Solve for x
    x = 234,763,355,126.46/509,953.59
  6. Step 6: Final answer
    x = 460,362.20

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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.