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Finding the Fourth Proportional to 586,276, 879,189.82 and 319,894.12

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Solution

The fourth proportional to 586,276, 879,189.82 and 319,894.12 is: 479,718.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,276 : 879,189.82 = 319,894.12 : x
  2. Step 2: Convert to fraction form
    586,276/879,189.82 = 319,894.12/x
  3. Step 3: Cross multiply
    586,276x = 879,189.82 × 319,894.12
  4. Step 4: Simplify right side
    586,276x = 281,247,653,781.86
  5. Step 5: Solve for x
    x = 281,247,653,781.86/586,276
  6. Step 6: Final answer
    x = 479,718.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.