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Finding the Fourth Proportional to 306,035.84, 422,340.10 and 170,075.52

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Solution

The fourth proportional to 306,035.84, 422,340.10 and 170,075.52 is: 234,710.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,035.84 : 422,340.10 = 170,075.52 : x
  2. Step 2: Convert to fraction form
    306,035.84/422,340.10 = 170,075.52/x
  3. Step 3: Cross multiply
    306,035.84x = 422,340.10 × 170,075.52
  4. Step 4: Simplify right side
    306,035.84x = 71,829,711,699.16
  5. Step 5: Solve for x
    x = 71,829,711,699.16/306,035.84
  6. Step 6: Final answer
    x = 234,710.13

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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.