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Finding the Fourth Proportional to 472,817.70, 652,464.45 and 257,956.02

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Solution

The fourth proportional to 472,817.70, 652,464.45 and 257,956.02 is: 355,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,817.70 : 652,464.45 = 257,956.02 : x
  2. Step 2: Convert to fraction form
    472,817.70/652,464.45 = 257,956.02/x
  3. Step 3: Cross multiply
    472,817.70x = 652,464.45 × 257,956.02
  4. Step 4: Simplify right side
    472,817.70x = 168,307,132,713.49
  5. Step 5: Solve for x
    x = 168,307,132,713.49/472,817.70
  6. Step 6: Final answer
    x = 355,966.23

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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.