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Finding the Fourth Proportional to 338,231.70, 507,347.55 and 315,924.30

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Solution

The fourth proportional to 338,231.70, 507,347.55 and 315,924.30 is: 473,886.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,231.70 : 507,347.55 = 315,924.30 : x
  2. Step 2: Convert to fraction form
    338,231.70/507,347.55 = 315,924.30/x
  3. Step 3: Cross multiply
    338,231.70x = 507,347.55 × 315,924.30
  4. Step 4: Simplify right side
    338,231.70x = 160,283,419,590.47
  5. Step 5: Solve for x
    x = 160,283,419,590.47/338,231.70
  6. Step 6: Final answer
    x = 473,886.45

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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.