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Finding the Fourth Proportional to 493,731.40, 740,622.64 and 156,798.36

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Solution

The fourth proportional to 493,731.40, 740,622.64 and 156,798.36 is: 235,205.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,731.40 : 740,622.64 = 156,798.36 : x
  2. Step 2: Convert to fraction form
    493,731.40/740,622.64 = 156,798.36/x
  3. Step 3: Cross multiply
    493,731.40x = 740,622.64 × 156,798.36
  4. Step 4: Simplify right side
    493,731.40x = 116,128,415,330.87
  5. Step 5: Solve for x
    x = 116,128,415,330.87/493,731.40
  6. Step 6: Final answer
    x = 235,205.65

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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.