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Finding the Fourth Proportional to 319,607.06, 478,820.10 and 161,457.80

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Solution

The fourth proportional to 319,607.06, 478,820.10 and 161,457.80 is: 241,888.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,607.06 : 478,820.10 = 161,457.80 : x
  2. Step 2: Convert to fraction form
    319,607.06/478,820.10 = 161,457.80/x
  3. Step 3: Cross multiply
    319,607.06x = 478,820.10 × 161,457.80
  4. Step 4: Simplify right side
    319,607.06x = 77,309,239,941.78
  5. Step 5: Solve for x
    x = 77,309,239,941.78/319,607.06
  6. Step 6: Final answer
    x = 241,888.40

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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.