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Finding the Fourth Proportional to 389,794.72, 537,916.80 and 210,946.72

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Solution

The fourth proportional to 389,794.72, 537,916.80 and 210,946.72 is: 291,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,794.72 : 537,916.80 = 210,946.72 : x
  2. Step 2: Convert to fraction form
    389,794.72/537,916.80 = 210,946.72/x
  3. Step 3: Cross multiply
    389,794.72x = 537,916.80 × 210,946.72
  4. Step 4: Simplify right side
    389,794.72x = 113,471,784,592.90
  5. Step 5: Solve for x
    x = 113,471,784,592.90/389,794.72
  6. Step 6: Final answer
    x = 291,106.52

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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.