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Finding the Fourth Proportional to 418,914, 578,096.84 and 249,144.40

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Solution

The fourth proportional to 418,914, 578,096.84 and 249,144.40 is: 343,816.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,914 : 578,096.84 = 249,144.40 : x
  2. Step 2: Convert to fraction form
    418,914/578,096.84 = 249,144.40/x
  3. Step 3: Cross multiply
    418,914x = 578,096.84 × 249,144.40
  4. Step 4: Simplify right side
    418,914x = 144,029,590,343.70
  5. Step 5: Solve for x
    x = 144,029,590,343.70/418,914
  6. Step 6: Final answer
    x = 343,816.61

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1.5x scale

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.