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Finding the Fourth Proportional to 419,522.10, 578,713.05 and 249,723.42

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Solution

The fourth proportional to 419,522.10, 578,713.05 and 249,723.42 is: 344,482.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,522.10 : 578,713.05 = 249,723.42 : x
  2. Step 2: Convert to fraction form
    419,522.10/578,713.05 = 249,723.42/x
  3. Step 3: Cross multiply
    419,522.10x = 578,713.05 × 249,723.42
  4. Step 4: Simplify right side
    419,522.10x = 144,518,202,044.63
  5. Step 5: Solve for x
    x = 144,518,202,044.63/419,522.10
  6. Step 6: Final answer
    x = 344,482.93

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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.