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Finding the Fourth Proportional to 509,656.94, 764,007.95 and 172,461.52

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Solution

The fourth proportional to 509,656.94, 764,007.95 and 172,461.52 is: 258,530.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,656.94 : 764,007.95 = 172,461.52 : x
  2. Step 2: Convert to fraction form
    509,656.94/764,007.95 = 172,461.52/x
  3. Step 3: Cross multiply
    509,656.94x = 764,007.95 × 172,461.52
  4. Step 4: Simplify right side
    509,656.94x = 131,761,974,376.74
  5. Step 5: Solve for x
    x = 131,761,974,376.74/509,656.94
  6. Step 6: Final answer
    x = 258,530.72

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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.