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Finding the Fourth Proportional to 516,455.55, 774,727.95 and 142,478.55

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Solution

The fourth proportional to 516,455.55, 774,727.95 and 142,478.55 is: 213,730.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,455.55 : 774,727.95 = 142,478.55 : x
  2. Step 2: Convert to fraction form
    516,455.55/774,727.95 = 142,478.55/x
  3. Step 3: Cross multiply
    516,455.55x = 774,727.95 × 142,478.55
  4. Step 4: Simplify right side
    516,455.55x = 110,382,114,960.47
  5. Step 5: Solve for x
    x = 110,382,114,960.47/516,455.55
  6. Step 6: Final answer
    x = 213,730.14

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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.