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Finding the Fourth Proportional to 313,075.68, 432,041.10 and 169,834.50

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Solution

The fourth proportional to 313,075.68, 432,041.10 and 169,834.50 is: 234,369.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,075.68 : 432,041.10 = 169,834.50 : x
  2. Step 2: Convert to fraction form
    313,075.68/432,041.10 = 169,834.50/x
  3. Step 3: Cross multiply
    313,075.68x = 432,041.10 × 169,834.50
  4. Step 4: Simplify right side
    313,075.68x = 73,375,484,197.95
  5. Step 5: Solve for x
    x = 73,375,484,197.95/313,075.68
  6. Step 6: Final answer
    x = 234,369.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.