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Finding the Fourth Proportional to 532,659.79, 735,066.13 and 290,942.53

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Solution

The fourth proportional to 532,659.79, 735,066.13 and 290,942.53 is: 401,498.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,659.79 : 735,066.13 = 290,942.53 : x
  2. Step 2: Convert to fraction form
    532,659.79/735,066.13 = 290,942.53/x
  3. Step 3: Cross multiply
    532,659.79x = 735,066.13 × 290,942.53
  4. Step 4: Simplify right side
    532,659.79x = 213,861,999,579.51
  5. Step 5: Solve for x
    x = 213,861,999,579.51/532,659.79
  6. Step 6: Final answer
    x = 401,498.30

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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.