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Finding the Fourth Proportional to 553,505, 830,257.50 and 179,528

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Solution

The fourth proportional to 553,505, 830,257.50 and 179,528 is: 269,292

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,505 : 830,257.50 = 179,528 : x
  2. Step 2: Convert to fraction form
    553,505/830,257.50 = 179,528/x
  3. Step 3: Cross multiply
    553,505x = 830,257.50 × 179,528
  4. Step 4: Simplify right side
    553,505x = 149,054,468,460
  5. Step 5: Solve for x
    x = 149,054,468,460/553,505
  6. Step 6: Final answer
    x = 269,292

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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.