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Finding the Fourth Proportional to 319,024.70, 478,421.85 and 161,200.70

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Solution

The fourth proportional to 319,024.70, 478,421.85 and 161,200.70 is: 241,742.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,024.70 : 478,421.85 = 161,200.70 : x
  2. Step 2: Convert to fraction form
    319,024.70/478,421.85 = 161,200.70/x
  3. Step 3: Cross multiply
    319,024.70x = 478,421.85 × 161,200.70
  4. Step 4: Simplify right side
    319,024.70x = 77,121,937,115.30
  5. Step 5: Solve for x
    x = 77,121,937,115.30/319,024.70
  6. Step 6: Final answer
    x = 241,742.84

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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.