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Finding the Fourth Proportional to 514,193.42, 709,415 and 299,287.86

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Solution

The fourth proportional to 514,193.42, 709,415 and 299,287.86 is: 412,917.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,193.42 : 709,415 = 299,287.86 : x
  2. Step 2: Convert to fraction form
    514,193.42/709,415 = 299,287.86/x
  3. Step 3: Cross multiply
    514,193.42x = 709,415 × 299,287.86
  4. Step 4: Simplify right side
    514,193.42x = 212,319,297,201.90
  5. Step 5: Solve for x
    x = 212,319,297,201.90/514,193.42
  6. Step 6: Final answer
    x = 412,917.18

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1.5x scale

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.