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Finding the Fourth Proportional to 509,307.32, 763,698.18 and 228,584.36

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Solution

The fourth proportional to 509,307.32, 763,698.18 and 228,584.36 is: 342,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,307.32 : 763,698.18 = 228,584.36 : x
  2. Step 2: Convert to fraction form
    509,307.32/763,698.18 = 228,584.36/x
  3. Step 3: Cross multiply
    509,307.32x = 763,698.18 × 228,584.36
  4. Step 4: Simplify right side
    509,307.32x = 174,569,459,708.47
  5. Step 5: Solve for x
    x = 174,569,459,708.47/509,307.32
  6. Step 6: Final answer
    x = 342,758.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.