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Finding the Fourth Proportional to 419,522.60, 578,713.74 and 249,723.92

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Solution

The fourth proportional to 419,522.60, 578,713.74 and 249,723.92 is: 344,483.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,522.60 : 578,713.74 = 249,723.92 : x
  2. Step 2: Convert to fraction form
    419,522.60/578,713.74 = 249,723.92/x
  3. Step 3: Cross multiply
    419,522.60x = 578,713.74 × 249,723.92
  4. Step 4: Simplify right side
    419,522.60x = 144,518,663,710.66
  5. Step 5: Solve for x
    x = 144,518,663,710.66/419,522.60
  6. Step 6: Final answer
    x = 344,483.62

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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.