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Finding the Fourth Proportional to 474,897.77, 655,359.19 and 257,106.50

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Solution

The fourth proportional to 474,897.77, 655,359.19 and 257,106.50 is: 354,807.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,897.77 : 655,359.19 = 257,106.50 : x
  2. Step 2: Convert to fraction form
    474,897.77/655,359.19 = 257,106.50/x
  3. Step 3: Cross multiply
    474,897.77x = 655,359.19 × 257,106.50
  4. Step 4: Simplify right side
    474,897.77x = 168,497,107,583.74
  5. Step 5: Solve for x
    x = 168,497,107,583.74/474,897.77
  6. Step 6: Final answer
    x = 354,807.11

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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.