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Finding the Fourth Proportional to 472,506.35, 652,072.20 and 257,658.20

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Solution

The fourth proportional to 472,506.35, 652,072.20 and 257,658.20 is: 355,575.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,506.35 : 652,072.20 = 257,658.20 : x
  2. Step 2: Convert to fraction form
    472,506.35/652,072.20 = 257,658.20/x
  3. Step 3: Cross multiply
    472,506.35x = 652,072.20 × 257,658.20
  4. Step 4: Simplify right side
    472,506.35x = 168,011,746,061.68
  5. Step 5: Solve for x
    x = 168,011,746,061.68/472,506.35
  6. Step 6: Final answer
    x = 355,575.64

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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.