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Finding the Fourth Proportional to 509,464.40, 702,842.76 and 318,145.68

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Solution

The fourth proportional to 509,464.40, 702,842.76 and 318,145.68 is: 438,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,464.40 : 702,842.76 = 318,145.68 : x
  2. Step 2: Convert to fraction form
    509,464.40/702,842.76 = 318,145.68/x
  3. Step 3: Cross multiply
    509,464.40x = 702,842.76 × 318,145.68
  4. Step 4: Simplify right side
    509,464.40x = 223,606,387,813.28
  5. Step 5: Solve for x
    x = 223,606,387,813.28/509,464.40
  6. Step 6: Final answer
    x = 438,904.83

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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.