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Finding the Fourth Proportional to 402,888.16, 604,401.09 and 166,101.40

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Solution

The fourth proportional to 402,888.16, 604,401.09 and 166,101.40 is: 249,180.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,888.16 : 604,401.09 = 166,101.40 : x
  2. Step 2: Convert to fraction form
    402,888.16/604,401.09 = 166,101.40/x
  3. Step 3: Cross multiply
    402,888.16x = 604,401.09 × 166,101.40
  4. Step 4: Simplify right side
    402,888.16x = 100,391,867,210.53
  5. Step 5: Solve for x
    x = 100,391,867,210.53/402,888.16
  6. Step 6: Final answer
    x = 249,180.49

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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.