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Finding the Fourth Proportional to 616,931.62, 851,349.65 and 341,299.66

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Solution

The fourth proportional to 616,931.62, 851,349.65 and 341,299.66 is: 470,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,931.62 : 851,349.65 = 341,299.66 : x
  2. Step 2: Convert to fraction form
    616,931.62/851,349.65 = 341,299.66/x
  3. Step 3: Cross multiply
    616,931.62x = 851,349.65 × 341,299.66
  4. Step 4: Simplify right side
    616,931.62x = 290,565,340,122.87
  5. Step 5: Solve for x
    x = 290,565,340,122.87/616,931.62
  6. Step 6: Final answer
    x = 470,984.68

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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.