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Finding the Fourth Proportional to 289,678.77, 399,798.07 and 160,645.94

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Solution

The fourth proportional to 289,678.77, 399,798.07 and 160,645.94 is: 221,714.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,678.77 : 399,798.07 = 160,645.94 : x
  2. Step 2: Convert to fraction form
    289,678.77/399,798.07 = 160,645.94/x
  3. Step 3: Cross multiply
    289,678.77x = 399,798.07 × 160,645.94
  4. Step 4: Simplify right side
    289,678.77x = 64,225,937,440.22
  5. Step 5: Solve for x
    x = 64,225,937,440.22/289,678.77
  6. Step 6: Final answer
    x = 221,714.34

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1.5x scale

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.