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Finding the Fourth Proportional to 513,658.84, 708,835.54 and 284,210.14

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Solution

The fourth proportional to 513,658.84, 708,835.54 and 284,210.14 is: 392,202.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,658.84 : 708,835.54 = 284,210.14 : x
  2. Step 2: Convert to fraction form
    513,658.84/708,835.54 = 284,210.14/x
  3. Step 3: Cross multiply
    513,658.84x = 708,835.54 × 284,210.14
  4. Step 4: Simplify right side
    513,658.84x = 201,458,248,060.38
  5. Step 5: Solve for x
    x = 201,458,248,060.38/513,658.84
  6. Step 6: Final answer
    x = 392,202.44

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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.