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Finding the Fourth Proportional to 256,510.80, 384,802.65 and 78,999.30

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Solution

The fourth proportional to 256,510.80, 384,802.65 and 78,999.30 is: 118,510.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,510.80 : 384,802.65 = 78,999.30 : x
  2. Step 2: Convert to fraction form
    256,510.80/384,802.65 = 78,999.30/x
  3. Step 3: Cross multiply
    256,510.80x = 384,802.65 × 78,999.30
  4. Step 4: Simplify right side
    256,510.80x = 30,399,139,988.15
  5. Step 5: Solve for x
    x = 30,399,139,988.15/256,510.80
  6. Step 6: Final answer
    x = 118,510.18

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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.