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Finding the Fourth Proportional to 407,416.20, 612,045.90 and 283,000.20

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Solution

The fourth proportional to 407,416.20, 612,045.90 and 283,000.20 is: 425,140.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,416.20 : 612,045.90 = 283,000.20 : x
  2. Step 2: Convert to fraction form
    407,416.20/612,045.90 = 283,000.20/x
  3. Step 3: Cross multiply
    407,416.20x = 612,045.90 × 283,000.20
  4. Step 4: Simplify right side
    407,416.20x = 173,209,112,109.18
  5. Step 5: Solve for x
    x = 173,209,112,109.18/407,416.20
  6. Step 6: Final answer
    x = 425,140.46

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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.