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Finding the Fourth Proportional to 386,302.40, 578,071.20 and 353,124.80

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Solution

The fourth proportional to 386,302.40, 578,071.20 and 353,124.80 is: 528,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,302.40 : 578,071.20 = 353,124.80 : x
  2. Step 2: Convert to fraction form
    386,302.40/578,071.20 = 353,124.80/x
  3. Step 3: Cross multiply
    386,302.40x = 578,071.20 × 353,124.80
  4. Step 4: Simplify right side
    386,302.40x = 204,131,276,885.76
  5. Step 5: Solve for x
    x = 204,131,276,885.76/386,302.40
  6. Step 6: Final answer
    x = 528,423.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.