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Finding the Fourth Proportional to 419,300.51, 628,886.30 and 229,854.74

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Solution

The fourth proportional to 419,300.51, 628,886.30 and 229,854.74 is: 344,746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,300.51 : 628,886.30 = 229,854.74 : x
  2. Step 2: Convert to fraction form
    419,300.51/628,886.30 = 229,854.74/x
  3. Step 3: Cross multiply
    419,300.51x = 628,886.30 × 229,854.74
  4. Step 4: Simplify right side
    419,300.51x = 144,552,492,682.36
  5. Step 5: Solve for x
    x = 144,552,492,682.36/419,300.51
  6. Step 6: Final answer
    x = 344,746.77

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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.