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Finding the Fourth Proportional to 514,911.40, 772,367.10 and 346,512.40

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Solution

The fourth proportional to 514,911.40, 772,367.10 and 346,512.40 is: 519,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,911.40 : 772,367.10 = 346,512.40 : x
  2. Step 2: Convert to fraction form
    514,911.40/772,367.10 = 346,512.40/x
  3. Step 3: Cross multiply
    514,911.40x = 772,367.10 × 346,512.40
  4. Step 4: Simplify right side
    514,911.40x = 267,634,777,502.04
  5. Step 5: Solve for x
    x = 267,634,777,502.04/514,911.40
  6. Step 6: Final answer
    x = 519,768.60

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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.