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Finding the Fourth Proportional to 602,091.84, 830,205.72 and 384,008.88

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Solution

The fourth proportional to 602,091.84, 830,205.72 and 384,008.88 is: 529,497.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,091.84 : 830,205.72 = 384,008.88 : x
  2. Step 2: Convert to fraction form
    602,091.84/830,205.72 = 384,008.88/x
  3. Step 3: Cross multiply
    602,091.84x = 830,205.72 × 384,008.88
  4. Step 4: Simplify right side
    602,091.84x = 318,806,368,706.79
  5. Step 5: Solve for x
    x = 318,806,368,706.79/602,091.84
  6. Step 6: Final answer
    x = 529,497.91

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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.