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Finding the Fourth Proportional to 602,112.74, 830,295.27 and 420,758.19

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Solution

The fourth proportional to 602,112.74, 830,295.27 and 420,758.19 is: 580,212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,112.74 : 830,295.27 = 420,758.19 : x
  2. Step 2: Convert to fraction form
    602,112.74/830,295.27 = 420,758.19/x
  3. Step 3: Cross multiply
    602,112.74x = 830,295.27 × 420,758.19
  4. Step 4: Simplify right side
    602,112.74x = 349,353,534,970.76
  5. Step 5: Solve for x
    x = 349,353,534,970.76/602,112.74
  6. Step 6: Final answer
    x = 580,212.83

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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.