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Finding the Fourth Proportional to 289,482.80, 399,501.65 and 160,435.38

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Solution

The fourth proportional to 289,482.80, 399,501.65 and 160,435.38 is: 221,409.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,482.80 : 399,501.65 = 160,435.38 : x
  2. Step 2: Convert to fraction form
    289,482.80/399,501.65 = 160,435.38/x
  3. Step 3: Cross multiply
    289,482.80x = 399,501.65 × 160,435.38
  4. Step 4: Simplify right side
    289,482.80x = 64,094,200,927.60
  5. Step 5: Solve for x
    x = 64,094,200,927.60/289,482.80
  6. Step 6: Final answer
    x = 221,409.36

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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.