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Finding the Fourth Proportional to 402,917.70, 604,376.55 and 242,559.30

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Solution

The fourth proportional to 402,917.70, 604,376.55 and 242,559.30 is: 363,838.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,917.70 : 604,376.55 = 242,559.30 : x
  2. Step 2: Convert to fraction form
    402,917.70/604,376.55 = 242,559.30/x
  3. Step 3: Cross multiply
    402,917.70x = 604,376.55 × 242,559.30
  4. Step 4: Simplify right side
    402,917.70x = 146,597,152,904.42
  5. Step 5: Solve for x
    x = 146,597,152,904.42/402,917.70
  6. Step 6: Final answer
    x = 363,838.95

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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.