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Finding the Fourth Proportional to 457,138, 685,574.60 and 137,276.96

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Solution

The fourth proportional to 457,138, 685,574.60 and 137,276.96 is: 205,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,138 : 685,574.60 = 137,276.96 : x
  2. Step 2: Convert to fraction form
    457,138/685,574.60 = 137,276.96/x
  3. Step 3: Cross multiply
    457,138x = 685,574.60 × 137,276.96
  4. Step 4: Simplify right side
    457,138x = 94,113,596,941.22
  5. Step 5: Solve for x
    x = 94,113,596,941.22/457,138
  6. Step 6: Final answer
    x = 205,875.68

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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.