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Finding the Fourth Proportional to 289,421.34, 399,397.95 and 168,582.30

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Solution

The fourth proportional to 289,421.34, 399,397.95 and 168,582.30 is: 232,641.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,421.34 : 399,397.95 = 168,582.30 : x
  2. Step 2: Convert to fraction form
    289,421.34/399,397.95 = 168,582.30/x
  3. Step 3: Cross multiply
    289,421.34x = 399,397.95 × 168,582.30
  4. Step 4: Simplify right side
    289,421.34x = 67,331,425,026.29
  5. Step 5: Solve for x
    x = 67,331,425,026.29/289,421.34
  6. Step 6: Final answer
    x = 232,641.54

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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.