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Finding the Fourth Proportional to 432,438.60, 648,657.90 and 313,552.20

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Solution

The fourth proportional to 432,438.60, 648,657.90 and 313,552.20 is: 470,328.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,438.60 : 648,657.90 = 313,552.20 : x
  2. Step 2: Convert to fraction form
    432,438.60/648,657.90 = 313,552.20/x
  3. Step 3: Cross multiply
    432,438.60x = 648,657.90 × 313,552.20
  4. Step 4: Simplify right side
    432,438.60x = 203,388,111,592.38
  5. Step 5: Solve for x
    x = 203,388,111,592.38/432,438.60
  6. Step 6: Final answer
    x = 470,328.30

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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.