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Finding the Fourth Proportional to 541,545, 812,317.50 and 147,561

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Solution

The fourth proportional to 541,545, 812,317.50 and 147,561 is: 221,341.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,545 : 812,317.50 = 147,561 : x
  2. Step 2: Convert to fraction form
    541,545/812,317.50 = 147,561/x
  3. Step 3: Cross multiply
    541,545x = 812,317.50 × 147,561
  4. Step 4: Simplify right side
    541,545x = 119,866,382,617.50
  5. Step 5: Solve for x
    x = 119,866,382,617.50/541,545
  6. Step 6: Final answer
    x = 221,341.50

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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.