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Finding the Fourth Proportional to 358,737.21, 538,105.82 and 312,547.77

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Solution

The fourth proportional to 358,737.21, 538,105.82 and 312,547.77 is: 468,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,737.21 : 538,105.82 = 312,547.77 : x
  2. Step 2: Convert to fraction form
    358,737.21/538,105.82 = 312,547.77/x
  3. Step 3: Cross multiply
    358,737.21x = 538,105.82 × 312,547.77
  4. Step 4: Simplify right side
    358,737.21x = 168,183,772,502.28
  5. Step 5: Solve for x
    x = 168,183,772,502.28/358,737.21
  6. Step 6: Final answer
    x = 468,821.66

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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.