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Finding the Fourth Proportional to 457,364.06, 686,155.08 and 157,847.22

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Solution

The fourth proportional to 457,364.06, 686,155.08 and 157,847.22 is: 236,808.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,364.06 : 686,155.08 = 157,847.22 : x
  2. Step 2: Convert to fraction form
    457,364.06/686,155.08 = 157,847.22/x
  3. Step 3: Cross multiply
    457,364.06x = 686,155.08 × 157,847.22
  4. Step 4: Simplify right side
    457,364.06x = 108,307,671,866.88
  5. Step 5: Solve for x
    x = 108,307,671,866.88/457,364.06
  6. Step 6: Final answer
    x = 236,808.45

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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.