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Finding the Fourth Proportional to 289,461.51, 399,450.96 and 160,398.90

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Solution

The fourth proportional to 289,461.51, 399,450.96 and 160,398.90 is: 221,347.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,461.51 : 399,450.96 = 160,398.90 : x
  2. Step 2: Convert to fraction form
    289,461.51/399,450.96 = 160,398.90/x
  3. Step 3: Cross multiply
    289,461.51x = 399,450.96 × 160,398.90
  4. Step 4: Simplify right side
    289,461.51x = 64,071,494,587.94
  5. Step 5: Solve for x
    x = 64,071,494,587.94/289,461.51
  6. Step 6: Final answer
    x = 221,347.20

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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.