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Finding the Fourth Proportional to 402,459.68, 603,689.20 and 102,940.80

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Solution

The fourth proportional to 402,459.68, 603,689.20 and 102,940.80 is: 154,411.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,459.68 : 603,689.20 = 102,940.80 : x
  2. Step 2: Convert to fraction form
    402,459.68/603,689.20 = 102,940.80/x
  3. Step 3: Cross multiply
    402,459.68x = 603,689.20 × 102,940.80
  4. Step 4: Simplify right side
    402,459.68x = 62,144,249,199.36
  5. Step 5: Solve for x
    x = 62,144,249,199.36/402,459.68
  6. Step 6: Final answer
    x = 154,411.12

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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.