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Finding the Fourth Proportional to 256,802.30, 385,312.80 and 162,105.20

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Solution

The fourth proportional to 256,802.30, 385,312.80 and 162,105.20 is: 243,226.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,802.30 : 385,312.80 = 162,105.20 : x
  2. Step 2: Convert to fraction form
    256,802.30/385,312.80 = 162,105.20/x
  3. Step 3: Cross multiply
    256,802.30x = 385,312.80 × 162,105.20
  4. Step 4: Simplify right side
    256,802.30x = 62,461,208,506.56
  5. Step 5: Solve for x
    x = 62,461,208,506.56/256,802.30
  6. Step 6: Final answer
    x = 243,226.83

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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.