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Finding the Fourth Proportional to 434,898.61, 600,422.52 and 284,258.05

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Solution

The fourth proportional to 434,898.61, 600,422.52 and 284,258.05 is: 392,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,898.61 : 600,422.52 = 284,258.05 : x
  2. Step 2: Convert to fraction form
    434,898.61/600,422.52 = 284,258.05/x
  3. Step 3: Cross multiply
    434,898.61x = 600,422.52 × 284,258.05
  4. Step 4: Simplify right side
    434,898.61x = 170,674,933,210.23
  5. Step 5: Solve for x
    x = 170,674,933,210.23/434,898.61
  6. Step 6: Final answer
    x = 392,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.