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Finding the Fourth Proportional to 294,642, 406,605.96 and 160,506

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Solution

The fourth proportional to 294,642, 406,605.96 and 160,506 is: 221,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,642 : 406,605.96 = 160,506 : x
  2. Step 2: Convert to fraction form
    294,642/406,605.96 = 160,506/x
  3. Step 3: Cross multiply
    294,642x = 406,605.96 × 160,506
  4. Step 4: Simplify right side
    294,642x = 65,262,696,215.76
  5. Step 5: Solve for x
    x = 65,262,696,215.76/294,642
  6. Step 6: Final answer
    x = 221,498.28

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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.