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Finding the Fourth Proportional to 319,095.30, 478,412.55 and 178,896.90

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Solution

The fourth proportional to 319,095.30, 478,412.55 and 178,896.90 is: 268,216.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,095.30 : 478,412.55 = 178,896.90 : x
  2. Step 2: Convert to fraction form
    319,095.30/478,412.55 = 178,896.90/x
  3. Step 3: Cross multiply
    319,095.30x = 478,412.55 × 178,896.90
  4. Step 4: Simplify right side
    319,095.30x = 85,586,522,116.10
  5. Step 5: Solve for x
    x = 85,586,522,116.10/319,095.30
  6. Step 6: Final answer
    x = 268,216.18

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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.