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Finding the Fourth Proportional to 413,010, 570,154.02 and 276,994.20

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Solution

The fourth proportional to 413,010, 570,154.02 and 276,994.20 is: 382,386.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,010 : 570,154.02 = 276,994.20 : x
  2. Step 2: Convert to fraction form
    413,010/570,154.02 = 276,994.20/x
  3. Step 3: Cross multiply
    413,010x = 570,154.02 × 276,994.20
  4. Step 4: Simplify right side
    413,010x = 157,929,356,646.68
  5. Step 5: Solve for x
    x = 157,929,356,646.68/413,010
  6. Step 6: Final answer
    x = 382,386.28

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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.