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Finding the Fourth Proportional to 434,884.60, 652,326.90 and 257,300.20

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Solution

The fourth proportional to 434,884.60, 652,326.90 and 257,300.20 is: 385,950.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,884.60 : 652,326.90 = 257,300.20 : x
  2. Step 2: Convert to fraction form
    434,884.60/652,326.90 = 257,300.20/x
  3. Step 3: Cross multiply
    434,884.60x = 652,326.90 × 257,300.20
  4. Step 4: Simplify right side
    434,884.60x = 167,843,841,835.38
  5. Step 5: Solve for x
    x = 167,843,841,835.38/434,884.60
  6. Step 6: Final answer
    x = 385,950.30

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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.