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Finding the Fourth Proportional to 432,915.40, 649,373.10 and 152,396.20

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Solution

The fourth proportional to 432,915.40, 649,373.10 and 152,396.20 is: 228,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,915.40 : 649,373.10 = 152,396.20 : x
  2. Step 2: Convert to fraction form
    432,915.40/649,373.10 = 152,396.20/x
  3. Step 3: Cross multiply
    432,915.40x = 649,373.10 × 152,396.20
  4. Step 4: Simplify right side
    432,915.40x = 98,961,992,822.22
  5. Step 5: Solve for x
    x = 98,961,992,822.22/432,915.40
  6. Step 6: Final answer
    x = 228,594.30

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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.