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Finding the Fourth Proportional to 514,106.76, 709,470.90 and 299,372.04

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Solution

The fourth proportional to 514,106.76, 709,470.90 and 299,372.04 is: 413,135.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,106.76 : 709,470.90 = 299,372.04 : x
  2. Step 2: Convert to fraction form
    514,106.76/709,470.90 = 299,372.04/x
  3. Step 3: Cross multiply
    514,106.76x = 709,470.90 × 299,372.04
  4. Step 4: Simplify right side
    514,106.76x = 212,395,750,653.64
  5. Step 5: Solve for x
    x = 212,395,750,653.64/514,106.76
  6. Step 6: Final answer
    x = 413,135.49

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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.