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Finding the Fourth Proportional to 384,819.12, 574,410.68 and 339,368.72

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Solution

The fourth proportional to 384,819.12, 574,410.68 and 339,368.72 is: 506,567.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,819.12 : 574,410.68 = 339,368.72 : x
  2. Step 2: Convert to fraction form
    384,819.12/574,410.68 = 339,368.72/x
  3. Step 3: Cross multiply
    384,819.12x = 574,410.68 × 339,368.72
  4. Step 4: Simplify right side
    384,819.12x = 194,937,017,225.93
  5. Step 5: Solve for x
    x = 194,937,017,225.93/384,819.12
  6. Step 6: Final answer
    x = 506,567.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.