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Finding the Fourth Proportional to 514,070.82, 709,392.06 and 281,491.74

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Solution

The fourth proportional to 514,070.82, 709,392.06 and 281,491.74 is: 388,444.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,070.82 : 709,392.06 = 281,491.74 : x
  2. Step 2: Convert to fraction form
    514,070.82/709,392.06 = 281,491.74/x
  3. Step 3: Cross multiply
    514,070.82x = 709,392.06 × 281,491.74
  4. Step 4: Simplify right side
    514,070.82x = 199,688,005,311.58
  5. Step 5: Solve for x
    x = 199,688,005,311.58/514,070.82
  6. Step 6: Final answer
    x = 388,444.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.