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Finding the Fourth Proportional to 286,145.66, 429,639.84 and 160,033

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Solution

The fourth proportional to 286,145.66, 429,639.84 and 160,033 is: 240,285.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,145.66 : 429,639.84 = 160,033 : x
  2. Step 2: Convert to fraction form
    286,145.66/429,639.84 = 160,033/x
  3. Step 3: Cross multiply
    286,145.66x = 429,639.84 × 160,033
  4. Step 4: Simplify right side
    286,145.66x = 68,756,552,514.72
  5. Step 5: Solve for x
    x = 68,756,552,514.72/286,145.66
  6. Step 6: Final answer
    x = 240,285.15

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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.