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Finding the Fourth Proportional to 402,643.40, 603,965.10 and 359,097.80

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Solution

The fourth proportional to 402,643.40, 603,965.10 and 359,097.80 is: 538,646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,643.40 : 603,965.10 = 359,097.80 : x
  2. Step 2: Convert to fraction form
    402,643.40/603,965.10 = 359,097.80/x
  3. Step 3: Cross multiply
    402,643.40x = 603,965.10 × 359,097.80
  4. Step 4: Simplify right side
    402,643.40x = 216,882,538,686.78
  5. Step 5: Solve for x
    x = 216,882,538,686.78/402,643.40
  6. Step 6: Final answer
    x = 538,646.70

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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.