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Finding the Fourth Proportional to 542,347.56, 813,568.32 and 142,985.16

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Solution

The fourth proportional to 542,347.56, 813,568.32 and 142,985.16 is: 214,490.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,347.56 : 813,568.32 = 142,985.16 : x
  2. Step 2: Convert to fraction form
    542,347.56/813,568.32 = 142,985.16/x
  3. Step 3: Cross multiply
    542,347.56x = 813,568.32 × 142,985.16
  4. Step 4: Simplify right side
    542,347.56x = 116,328,196,406.13
  5. Step 5: Solve for x
    x = 116,328,196,406.13/542,347.56
  6. Step 6: Final answer
    x = 214,490.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.