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Finding the Fourth Proportional to 402,208.72, 603,312.55 and 102,689.35

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Solution

The fourth proportional to 402,208.72, 603,312.55 and 102,689.35 is: 154,033.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,208.72 : 603,312.55 = 102,689.35 : x
  2. Step 2: Convert to fraction form
    402,208.72/603,312.55 = 102,689.35/x
  3. Step 3: Cross multiply
    402,208.72x = 603,312.55 × 102,689.35
  4. Step 4: Simplify right side
    402,208.72x = 61,953,773,606.34
  5. Step 5: Solve for x
    x = 61,953,773,606.34/402,208.72
  6. Step 6: Final answer
    x = 154,033.89

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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.