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Finding the Fourth Proportional to 319,411.20, 478,713.60 and 161,683.20

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Solution

The fourth proportional to 319,411.20, 478,713.60 and 161,683.20 is: 242,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,411.20 : 478,713.60 = 161,683.20 : x
  2. Step 2: Convert to fraction form
    319,411.20/478,713.60 = 161,683.20/x
  3. Step 3: Cross multiply
    319,411.20x = 478,713.60 × 161,683.20
  4. Step 4: Simplify right side
    319,411.20x = 77,399,946,731.52
  5. Step 5: Solve for x
    x = 77,399,946,731.52/319,411.20
  6. Step 6: Final answer
    x = 242,320.70

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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.