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Finding the Fourth Proportional to 401,803.84, 602,705.80 and 313,123.78

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Solution

The fourth proportional to 401,803.84, 602,705.80 and 313,123.78 is: 469,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,803.84 : 602,705.80 = 313,123.78 : x
  2. Step 2: Convert to fraction form
    401,803.84/602,705.80 = 313,123.78/x
  3. Step 3: Cross multiply
    401,803.84x = 602,705.80 × 313,123.78
  4. Step 4: Simplify right side
    401,803.84x = 188,721,518,323.92
  5. Step 5: Solve for x
    x = 188,721,518,323.92/401,803.84
  6. Step 6: Final answer
    x = 469,685.70

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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.