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Finding the Fourth Proportional to 542,784.39, 748,980.32 and 313,340.76

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Solution

The fourth proportional to 542,784.39, 748,980.32 and 313,340.76 is: 432,374.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,784.39 : 748,980.32 = 313,340.76 : x
  2. Step 2: Convert to fraction form
    542,784.39/748,980.32 = 313,340.76/x
  3. Step 3: Cross multiply
    542,784.39x = 748,980.32 × 313,340.76
  4. Step 4: Simplify right side
    542,784.39x = 234,686,061,127.14
  5. Step 5: Solve for x
    x = 234,686,061,127.14/542,784.39
  6. Step 6: Final answer
    x = 432,374.37

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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.