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Finding the Fourth Proportional to 498,307.68, 687,574.05 and 294,391.80

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Solution

The fourth proportional to 498,307.68, 687,574.05 and 294,391.80 is: 406,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,307.68 : 687,574.05 = 294,391.80 : x
  2. Step 2: Convert to fraction form
    498,307.68/687,574.05 = 294,391.80/x
  3. Step 3: Cross multiply
    498,307.68x = 687,574.05 × 294,391.80
  4. Step 4: Simplify right side
    498,307.68x = 202,416,157,302.96
  5. Step 5: Solve for x
    x = 202,416,157,302.96/498,307.68
  6. Step 6: Final answer
    x = 406,207.18

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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.