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Finding the Fourth Proportional to 509,303.12, 702,797.16 and 294,457.03

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Solution

The fourth proportional to 509,303.12, 702,797.16 and 294,457.03 is: 406,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,303.12 : 702,797.16 = 294,457.03 : x
  2. Step 2: Convert to fraction form
    509,303.12/702,797.16 = 294,457.03/x
  3. Step 3: Cross multiply
    509,303.12x = 702,797.16 × 294,457.03
  4. Step 4: Simplify right side
    509,303.12x = 206,943,564,426.04
  5. Step 5: Solve for x
    x = 206,943,564,426.04/509,303.12
  6. Step 6: Final answer
    x = 406,326.91

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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.