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Finding the Fourth Proportional to 338,434.70, 507,652.05 and 309,404.30

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Solution

The fourth proportional to 338,434.70, 507,652.05 and 309,404.30 is: 464,106.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,434.70 : 507,652.05 = 309,404.30 : x
  2. Step 2: Convert to fraction form
    338,434.70/507,652.05 = 309,404.30/x
  3. Step 3: Cross multiply
    338,434.70x = 507,652.05 × 309,404.30
  4. Step 4: Simplify right side
    338,434.70x = 157,069,727,173.82
  5. Step 5: Solve for x
    x = 157,069,727,173.82/338,434.70
  6. Step 6: Final answer
    x = 464,106.45

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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.