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Finding the Fourth Proportional to 509,080.18, 702,489.68 and 294,234.16

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Solution

The fourth proportional to 509,080.18, 702,489.68 and 294,234.16 is: 406,019.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,080.18 : 702,489.68 = 294,234.16 : x
  2. Step 2: Convert to fraction form
    509,080.18/702,489.68 = 294,234.16/x
  3. Step 3: Cross multiply
    509,080.18x = 702,489.68 × 294,234.16
  4. Step 4: Simplify right side
    509,080.18x = 206,696,459,432.30
  5. Step 5: Solve for x
    x = 206,696,459,432.30/509,080.18
  6. Step 6: Final answer
    x = 406,019.46

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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.