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Finding the Fourth Proportional to 536,671.40, 805,034.64 and 137,315.60

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Solution

The fourth proportional to 536,671.40, 805,034.64 and 137,315.60 is: 205,980.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,671.40 : 805,034.64 = 137,315.60 : x
  2. Step 2: Convert to fraction form
    536,671.40/805,034.64 = 137,315.60/x
  3. Step 3: Cross multiply
    536,671.40x = 805,034.64 × 137,315.60
  4. Step 4: Simplify right side
    536,671.40x = 110,543,814,612.38
  5. Step 5: Solve for x
    x = 110,543,814,612.38/536,671.40
  6. Step 6: Final answer
    x = 205,980.45

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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.