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Finding the Fourth Proportional to 457,395, 631,205.10 and 278,547

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Solution

The fourth proportional to 457,395, 631,205.10 and 278,547 is: 384,394.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,395 : 631,205.10 = 278,547 : x
  2. Step 2: Convert to fraction form
    457,395/631,205.10 = 278,547/x
  3. Step 3: Cross multiply
    457,395x = 631,205.10 × 278,547
  4. Step 4: Simplify right side
    457,395x = 175,820,286,989.70
  5. Step 5: Solve for x
    x = 175,820,286,989.70/457,395
  6. Step 6: Final answer
    x = 384,394.86

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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.