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Finding the Fourth Proportional to 542,970.30, 749,408.04 and 313,564.92

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Solution

The fourth proportional to 542,970.30, 749,408.04 and 313,564.92 is: 432,782.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970.30 : 749,408.04 = 313,564.92 : x
  2. Step 2: Convert to fraction form
    542,970.30/749,408.04 = 313,564.92/x
  3. Step 3: Cross multiply
    542,970.30x = 749,408.04 × 313,564.92
  4. Step 4: Simplify right side
    542,970.30x = 234,988,072,109.96
  5. Step 5: Solve for x
    x = 234,988,072,109.96/542,970.30
  6. Step 6: Final answer
    x = 432,782.55

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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.