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Finding the Fourth Proportional to 314,967.96, 434,832.66 and 218,312.28

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Solution

The fourth proportional to 314,967.96, 434,832.66 and 218,312.28 is: 301,393.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,967.96 : 434,832.66 = 218,312.28 : x
  2. Step 2: Convert to fraction form
    314,967.96/434,832.66 = 218,312.28/x
  3. Step 3: Cross multiply
    314,967.96x = 434,832.66 × 218,312.28
  4. Step 4: Simplify right side
    314,967.96x = 94,929,309,423.06
  5. Step 5: Solve for x
    x = 94,929,309,423.06/314,967.96
  6. Step 6: Final answer
    x = 301,393.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.