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Finding the Fourth Proportional to 402,947.20, 604,420.80 and 242,588.80

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Solution

The fourth proportional to 402,947.20, 604,420.80 and 242,588.80 is: 363,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,947.20 : 604,420.80 = 242,588.80 : x
  2. Step 2: Convert to fraction form
    402,947.20/604,420.80 = 242,588.80/x
  3. Step 3: Cross multiply
    402,947.20x = 604,420.80 × 242,588.80
  4. Step 4: Simplify right side
    402,947.20x = 146,625,716,567.04
  5. Step 5: Solve for x
    x = 146,625,716,567.04/402,947.20
  6. Step 6: Final answer
    x = 363,883.20

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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.