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Finding the Fourth Proportional to 542,813.34, 749,116.32 and 313,412.58

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Solution

The fourth proportional to 542,813.34, 749,116.32 and 313,412.58 is: 432,528.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,813.34 : 749,116.32 = 313,412.58 : x
  2. Step 2: Convert to fraction form
    542,813.34/749,116.32 = 313,412.58/x
  3. Step 3: Cross multiply
    542,813.34x = 749,116.32 × 313,412.58
  4. Step 4: Simplify right side
    542,813.34x = 234,782,478,571.31
  5. Step 5: Solve for x
    x = 234,782,478,571.31/542,813.34
  6. Step 6: Final answer
    x = 432,528.94

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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.