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Finding the Fourth Proportional to 647,886.72, 894,089.49 and 357,511.20

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Solution

The fourth proportional to 647,886.72, 894,089.49 and 357,511.20 is: 493,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,886.72 : 894,089.49 = 357,511.20 : x
  2. Step 2: Convert to fraction form
    647,886.72/894,089.49 = 357,511.20/x
  3. Step 3: Cross multiply
    647,886.72x = 894,089.49 × 357,511.20
  4. Step 4: Simplify right side
    647,886.72x = 319,647,006,477.29
  5. Step 5: Solve for x
    x = 319,647,006,477.29/647,886.72
  6. Step 6: Final answer
    x = 493,368.67

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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.