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Finding the Fourth Proportional to 434,818.77, 599,746.35 and 420,187.74

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Solution

The fourth proportional to 434,818.77, 599,746.35 and 420,187.74 is: 579,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,818.77 : 599,746.35 = 420,187.74 : x
  2. Step 2: Convert to fraction form
    434,818.77/599,746.35 = 420,187.74/x
  3. Step 3: Cross multiply
    434,818.77x = 599,746.35 × 420,187.74
  4. Step 4: Simplify right side
    434,818.77x = 252,006,063,379.75
  5. Step 5: Solve for x
    x = 252,006,063,379.75/434,818.77
  6. Step 6: Final answer
    x = 579,565.74

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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.