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Finding the Fourth Proportional to 354,533.14, 531,807 and 117,877.87

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Solution

The fourth proportional to 354,533.14, 531,807 and 117,877.87 is: 176,819.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,533.14 : 531,807 = 117,877.87 : x
  2. Step 2: Convert to fraction form
    354,533.14/531,807 = 117,877.87/x
  3. Step 3: Cross multiply
    354,533.14x = 531,807 × 117,877.87
  4. Step 4: Simplify right side
    354,533.14x = 62,688,276,411.09
  5. Step 5: Solve for x
    x = 62,688,276,411.09/354,533.14
  6. Step 6: Final answer
    x = 176,819.23

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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.