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Finding the Fourth Proportional to 279,219.42, 418,580.10 and 101,602.26

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Solution

The fourth proportional to 279,219.42, 418,580.10 and 101,602.26 is: 152,312.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,219.42 : 418,580.10 = 101,602.26 : x
  2. Step 2: Convert to fraction form
    279,219.42/418,580.10 = 101,602.26/x
  3. Step 3: Cross multiply
    279,219.42x = 418,580.10 × 101,602.26
  4. Step 4: Simplify right side
    279,219.42x = 42,528,684,151.03
  5. Step 5: Solve for x
    x = 42,528,684,151.03/279,219.42
  6. Step 6: Final answer
    x = 152,312.77

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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.