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Finding the Fourth Proportional to 509,653.53, 765,070.85 and 273,457.53

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Solution

The fourth proportional to 509,653.53, 765,070.85 and 273,457.53 is: 410,503.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,653.53 : 765,070.85 = 273,457.53 : x
  2. Step 2: Convert to fraction form
    509,653.53/765,070.85 = 273,457.53/x
  3. Step 3: Cross multiply
    509,653.53x = 765,070.85 × 273,457.53
  4. Step 4: Simplify right side
    509,653.53x = 209,214,385,599.64
  5. Step 5: Solve for x
    x = 209,214,385,599.64/509,653.53
  6. Step 6: Final answer
    x = 410,503.16

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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.