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Finding the Fourth Proportional to 542,841.60, 749,106.93 and 313,391.16

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Solution

The fourth proportional to 542,841.60, 749,106.93 and 313,391.16 is: 432,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,841.60 : 749,106.93 = 313,391.16 : x
  2. Step 2: Convert to fraction form
    542,841.60/749,106.93 = 313,391.16/x
  3. Step 3: Cross multiply
    542,841.60x = 749,106.93 × 313,391.16
  4. Step 4: Simplify right side
    542,841.60x = 234,763,489,756.74
  5. Step 5: Solve for x
    x = 234,763,489,756.74/542,841.60
  6. Step 6: Final answer
    x = 432,471.44

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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.