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Finding the Fourth Proportional to 507,149, 760,438.92 and 347,405.48

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Solution

The fourth proportional to 507,149, 760,438.92 and 347,405.48 is: 520,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,149 : 760,438.92 = 347,405.48 : x
  2. Step 2: Convert to fraction form
    507,149/760,438.92 = 347,405.48/x
  3. Step 3: Cross multiply
    507,149x = 760,438.92 × 347,405.48
  4. Step 4: Simplify right side
    507,149x = 264,180,648,013.28
  5. Step 5: Solve for x
    x = 264,180,648,013.28/507,149
  6. Step 6: Final answer
    x = 520,913.28

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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.