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Finding the Fourth Proportional to 553,396.49, 830,015.82 and 174,307.39

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Solution

The fourth proportional to 553,396.49, 830,015.82 and 174,307.39 is: 261,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,396.49 : 830,015.82 = 174,307.39 : x
  2. Step 2: Convert to fraction form
    553,396.49/830,015.82 = 174,307.39/x
  3. Step 3: Cross multiply
    553,396.49x = 830,015.82 × 174,307.39
  4. Step 4: Simplify right side
    553,396.49x = 144,677,891,242.91
  5. Step 5: Solve for x
    x = 144,677,891,242.91/553,396.49
  6. Step 6: Final answer
    x = 261,436.23

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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.