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Finding the Fourth Proportional to 407,313, 610,970.58 and 126,830.52

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Solution

The fourth proportional to 407,313, 610,970.58 and 126,830.52 is: 190,246.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,313 : 610,970.58 = 126,830.52 : x
  2. Step 2: Convert to fraction form
    407,313/610,970.58 = 126,830.52/x
  3. Step 3: Cross multiply
    407,313x = 610,970.58 × 126,830.52
  4. Step 4: Simplify right side
    407,313x = 77,489,716,366.10
  5. Step 5: Solve for x
    x = 77,489,716,366.10/407,313
  6. Step 6: Final answer
    x = 190,246.12

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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.