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Finding the Fourth Proportional to 521,704.64, 719,948.64 and 295,348.16

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Solution

The fourth proportional to 521,704.64, 719,948.64 and 295,348.16 is: 407,578.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,704.64 : 719,948.64 = 295,348.16 : x
  2. Step 2: Convert to fraction form
    521,704.64/719,948.64 = 295,348.16/x
  3. Step 3: Cross multiply
    521,704.64x = 719,948.64 × 295,348.16
  4. Step 4: Simplify right side
    521,704.64x = 212,635,506,118.50
  5. Step 5: Solve for x
    x = 212,635,506,118.50/521,704.64
  6. Step 6: Final answer
    x = 407,578.33

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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.