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Finding the Fourth Proportional to 498,742.34, 688,313.98 and 297,538.34

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Solution

The fourth proportional to 498,742.34, 688,313.98 and 297,538.34 is: 410,632.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,742.34 : 688,313.98 = 297,538.34 : x
  2. Step 2: Convert to fraction form
    498,742.34/688,313.98 = 297,538.34/x
  3. Step 3: Cross multiply
    498,742.34x = 688,313.98 × 297,538.34
  4. Step 4: Simplify right side
    498,742.34x = 204,799,799,007.99
  5. Step 5: Solve for x
    x = 204,799,799,007.99/498,742.34
  6. Step 6: Final answer
    x = 410,632.47

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.