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Finding the Fourth Proportional to 642,772.80, 964,159.20 and 538,574.40

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Solution

The fourth proportional to 642,772.80, 964,159.20 and 538,574.40 is: 807,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,772.80 : 964,159.20 = 538,574.40 : x
  2. Step 2: Convert to fraction form
    642,772.80/964,159.20 = 538,574.40/x
  3. Step 3: Cross multiply
    642,772.80x = 964,159.20 × 538,574.40
  4. Step 4: Simplify right side
    642,772.80x = 519,271,462,644.48
  5. Step 5: Solve for x
    x = 519,271,462,644.48/642,772.80
  6. Step 6: Final answer
    x = 807,861.60

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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.