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Finding the Fourth Proportional to 543,688.64, 815,633.35 and 178,970.86

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Solution

The fourth proportional to 543,688.64, 815,633.35 and 178,970.86 is: 268,489.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,688.64 : 815,633.35 = 178,970.86 : x
  2. Step 2: Convert to fraction form
    543,688.64/815,633.35 = 178,970.86/x
  3. Step 3: Cross multiply
    543,688.64x = 815,633.35 × 178,970.86
  4. Step 4: Simplify right side
    543,688.64x = 145,974,602,094.18
  5. Step 5: Solve for x
    x = 145,974,602,094.18/543,688.64
  6. Step 6: Final answer
    x = 268,489.34

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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.