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Finding the Fourth Proportional to 721,802.14, 996,110.46 and 415,854.51

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Solution

The fourth proportional to 721,802.14, 996,110.46 and 415,854.51 is: 573,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,802.14 : 996,110.46 = 415,854.51 : x
  2. Step 2: Convert to fraction form
    721,802.14/996,110.46 = 415,854.51/x
  3. Step 3: Cross multiply
    721,802.14x = 996,110.46 × 415,854.51
  4. Step 4: Simplify right side
    721,802.14x = 414,237,023,513.76
  5. Step 5: Solve for x
    x = 414,237,023,513.76/721,802.14
  6. Step 6: Final answer
    x = 573,892.76

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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.