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Finding the Fourth Proportional to 390,675.20, 584,457.60 and 338,662.40

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Solution

The fourth proportional to 390,675.20, 584,457.60 and 338,662.40 is: 506,645.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,675.20 : 584,457.60 = 338,662.40 : x
  2. Step 2: Convert to fraction form
    390,675.20/584,457.60 = 338,662.40/x
  3. Step 3: Cross multiply
    390,675.20x = 584,457.60 × 338,662.40
  4. Step 4: Simplify right side
    390,675.20x = 197,933,813,514.24
  5. Step 5: Solve for x
    x = 197,933,813,514.24/390,675.20
  6. Step 6: Final answer
    x = 506,645.45

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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.