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Finding the Fourth Proportional to 342,703.76, 514,178.64 and 153,148.28

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Solution

The fourth proportional to 342,703.76, 514,178.64 and 153,148.28 is: 229,777.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,703.76 : 514,178.64 = 153,148.28 : x
  2. Step 2: Convert to fraction form
    342,703.76/514,178.64 = 153,148.28/x
  3. Step 3: Cross multiply
    342,703.76x = 514,178.64 × 153,148.28
  4. Step 4: Simplify right side
    342,703.76x = 78,745,571,757.85
  5. Step 5: Solve for x
    x = 78,745,571,757.85/342,703.76
  6. Step 6: Final answer
    x = 229,777.38

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1.5x scale

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.