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Finding the Fourth Proportional to 402,401.80, 603,602.70 and 260,684.20

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Solution

The fourth proportional to 402,401.80, 603,602.70 and 260,684.20 is: 391,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,401.80 : 603,602.70 = 260,684.20 : x
  2. Step 2: Convert to fraction form
    402,401.80/603,602.70 = 260,684.20/x
  3. Step 3: Cross multiply
    402,401.80x = 603,602.70 × 260,684.20
  4. Step 4: Simplify right side
    402,401.80x = 157,349,686,967.34
  5. Step 5: Solve for x
    x = 157,349,686,967.34/402,401.80
  6. Step 6: Final answer
    x = 391,026.30

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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.