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Finding the Fourth Proportional to 542,808.34, 749,109.42 and 313,407.58

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Solution

The fourth proportional to 542,808.34, 749,109.42 and 313,407.58 is: 432,522.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,808.34 : 749,109.42 = 313,407.58 : x
  2. Step 2: Convert to fraction form
    542,808.34/749,109.42 = 313,407.58/x
  3. Step 3: Cross multiply
    542,808.34x = 749,109.42 × 313,407.58
  4. Step 4: Simplify right side
    542,808.34x = 234,776,570,477.40
  5. Step 5: Solve for x
    x = 234,776,570,477.40/542,808.34
  6. Step 6: Final answer
    x = 432,522.04

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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.