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Finding the Fourth Proportional to 523,473.05, 785,116.15 and 139,224.08

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Solution

The fourth proportional to 523,473.05, 785,116.15 and 139,224.08 is: 208,811.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,473.05 : 785,116.15 = 139,224.08 : x
  2. Step 2: Convert to fraction form
    523,473.05/785,116.15 = 139,224.08/x
  3. Step 3: Cross multiply
    523,473.05x = 785,116.15 × 139,224.08
  4. Step 4: Simplify right side
    523,473.05x = 109,307,075,291.62
  5. Step 5: Solve for x
    x = 109,307,075,291.62/523,473.05
  6. Step 6: Final answer
    x = 208,811.27

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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.