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Finding the Fourth Proportional to 602,115.74, 830,299.41 and 420,761.19

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Solution

The fourth proportional to 602,115.74, 830,299.41 and 420,761.19 is: 580,216.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,115.74 : 830,299.41 = 420,761.19 : x
  2. Step 2: Convert to fraction form
    602,115.74/830,299.41 = 420,761.19/x
  3. Step 3: Cross multiply
    602,115.74x = 830,299.41 × 420,761.19
  4. Step 4: Simplify right side
    602,115.74x = 349,357,767,807.90
  5. Step 5: Solve for x
    x = 349,357,767,807.90/602,115.74
  6. Step 6: Final answer
    x = 580,216.97

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1.5x scale

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.