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Finding the Fourth Proportional to 602,219.30, 830,928.12 and 344,013.80

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Solution

The fourth proportional to 602,219.30, 830,928.12 and 344,013.80 is: 474,662.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,219.30 : 830,928.12 = 344,013.80 : x
  2. Step 2: Convert to fraction form
    602,219.30/830,928.12 = 344,013.80/x
  3. Step 3: Cross multiply
    602,219.30x = 830,928.12 × 344,013.80
  4. Step 4: Simplify right side
    602,219.30x = 285,850,740,088.06
  5. Step 5: Solve for x
    x = 285,850,740,088.06/602,219.30
  6. Step 6: Final answer
    x = 474,662.20

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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.