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Finding the Fourth Proportional to 509,365.74, 702,928.89 and 318,489.78

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Solution

The fourth proportional to 509,365.74, 702,928.89 and 318,489.78 is: 439,518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,365.74 : 702,928.89 = 318,489.78 : x
  2. Step 2: Convert to fraction form
    509,365.74/702,928.89 = 318,489.78/x
  3. Step 3: Cross multiply
    509,365.74x = 702,928.89 × 318,489.78
  4. Step 4: Simplify right side
    509,365.74x = 223,875,667,531.74
  5. Step 5: Solve for x
    x = 223,875,667,531.74/509,365.74
  6. Step 6: Final answer
    x = 439,518.50

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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.