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Finding the Fourth Proportional to 509,320.59, 702,904.28 and 328,409.12

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Solution

The fourth proportional to 509,320.59, 702,904.28 and 328,409.12 is: 453,231.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,320.59 : 702,904.28 = 328,409.12 : x
  2. Step 2: Convert to fraction form
    509,320.59/702,904.28 = 328,409.12/x
  3. Step 3: Cross multiply
    509,320.59x = 702,904.28 × 328,409.12
  4. Step 4: Simplify right side
    509,320.59x = 230,840,176,039.03
  5. Step 5: Solve for x
    x = 230,840,176,039.03/509,320.59
  6. Step 6: Final answer
    x = 453,231.58

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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.