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Finding the Fourth Proportional to 289,420.47, 399,412.55 and 168,542.28

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Solution

The fourth proportional to 289,420.47, 399,412.55 and 168,542.28 is: 232,595.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,420.47 : 399,412.55 = 168,542.28 : x
  2. Step 2: Convert to fraction form
    289,420.47/399,412.55 = 168,542.28/x
  3. Step 3: Cross multiply
    289,420.47x = 399,412.55 × 168,542.28
  4. Step 4: Simplify right side
    289,420.47x = 67,317,901,837.61
  5. Step 5: Solve for x
    x = 67,317,901,837.61/289,420.47
  6. Step 6: Final answer
    x = 232,595.51

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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.