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Finding the Fourth Proportional to 524,124.40, 785,668.20 and 257,666.80

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Solution

The fourth proportional to 524,124.40, 785,668.20 and 257,666.80 is: 386,245.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,124.40 : 785,668.20 = 257,666.80 : x
  2. Step 2: Convert to fraction form
    524,124.40/785,668.20 = 257,666.80/x
  3. Step 3: Cross multiply
    524,124.40x = 785,668.20 × 257,666.80
  4. Step 4: Simplify right side
    524,124.40x = 202,440,610,955.76
  5. Step 5: Solve for x
    x = 202,440,610,955.76/524,124.40
  6. Step 6: Final answer
    x = 386,245.35

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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.