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Finding the Fourth Proportional to 428,798.51, 642,340.23 and 257,925.83

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Solution

The fourth proportional to 428,798.51, 642,340.23 and 257,925.83 is: 386,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,798.51 : 642,340.23 = 257,925.83 : x
  2. Step 2: Convert to fraction form
    428,798.51/642,340.23 = 257,925.83/x
  3. Step 3: Cross multiply
    428,798.51x = 642,340.23 × 257,925.83
  4. Step 4: Simplify right side
    428,798.51x = 165,676,136,965.14
  5. Step 5: Solve for x
    x = 165,676,136,965.14/428,798.51
  6. Step 6: Final answer
    x = 386,372.93

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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.