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Finding the Fourth Proportional to 642,659.16, 964,228.63 and 342,973.19

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Solution

The fourth proportional to 642,659.16, 964,228.63 and 342,973.19 is: 514,587.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,659.16 : 964,228.63 = 342,973.19 : x
  2. Step 2: Convert to fraction form
    642,659.16/964,228.63 = 342,973.19/x
  3. Step 3: Cross multiply
    642,659.16x = 964,228.63 × 342,973.19
  4. Step 4: Simplify right side
    642,659.16x = 330,704,566,857.47
  5. Step 5: Solve for x
    x = 330,704,566,857.47/642,659.16
  6. Step 6: Final answer
    x = 514,587.80

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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.