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Finding the Fourth Proportional to 302,048.57, 452,460.90 and 139,711.90

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Solution

The fourth proportional to 302,048.57, 452,460.90 and 139,711.90 is: 209,284.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,048.57 : 452,460.90 = 139,711.90 : x
  2. Step 2: Convert to fraction form
    302,048.57/452,460.90 = 139,711.90/x
  3. Step 3: Cross multiply
    302,048.57x = 452,460.90 × 139,711.90
  4. Step 4: Simplify right side
    302,048.57x = 63,214,171,316.15
  5. Step 5: Solve for x
    x = 63,214,171,316.15/302,048.57
  6. Step 6: Final answer
    x = 209,284.79

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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.