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Finding the Fourth Proportional to 402,915.40, 603,644.10 and 319,226.20

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Solution

The fourth proportional to 402,915.40, 603,644.10 and 319,226.20 is: 478,261.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,915.40 : 603,644.10 = 319,226.20 : x
  2. Step 2: Convert to fraction form
    402,915.40/603,644.10 = 319,226.20/x
  3. Step 3: Cross multiply
    402,915.40x = 603,644.10 × 319,226.20
  4. Step 4: Simplify right side
    402,915.40x = 192,699,012,195.42
  5. Step 5: Solve for x
    x = 192,699,012,195.42/402,915.40
  6. Step 6: Final answer
    x = 478,261.72

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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.