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Finding the Fourth Proportional to 542,971.30, 749,409.42 and 313,565.92

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Solution

The fourth proportional to 542,971.30, 749,409.42 and 313,565.92 is: 432,783.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,971.30 : 749,409.42 = 313,565.92 : x
  2. Step 2: Convert to fraction form
    542,971.30/749,409.42 = 313,565.92/x
  3. Step 3: Cross multiply
    542,971.30x = 749,409.42 × 313,565.92
  4. Step 4: Simplify right side
    542,971.30x = 234,989,254,238.97
  5. Step 5: Solve for x
    x = 234,989,254,238.97/542,971.30
  6. Step 6: Final answer
    x = 432,783.93

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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.