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Finding the Fourth Proportional to 286,873.51, 429,916.60 and 181,503.85

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Solution

The fourth proportional to 286,873.51, 429,916.60 and 181,503.85 is: 272,006.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,873.51 : 429,916.60 = 181,503.85 : x
  2. Step 2: Convert to fraction form
    286,873.51/429,916.60 = 181,503.85/x
  3. Step 3: Cross multiply
    286,873.51x = 429,916.60 × 181,503.85
  4. Step 4: Simplify right side
    286,873.51x = 78,031,518,078.91
  5. Step 5: Solve for x
    x = 78,031,518,078.91/286,873.51
  6. Step 6: Final answer
    x = 272,006.70

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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.