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Finding the Fourth Proportional to 827,875, 1,142,468.58 and 470,179

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Solution

The fourth proportional to 827,875, 1,142,468.58 and 470,179 is: 648,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,875 : 1,142,468.58 = 470,179 : x
  2. Step 2: Convert to fraction form
    827,875/1,142,468.58 = 470,179/x
  3. Step 3: Cross multiply
    827,875x = 1,142,468.58 × 470,179
  4. Step 4: Simplify right side
    827,875x = 537,164,734,475.82
  5. Step 5: Solve for x
    x = 537,164,734,475.82/827,875
  6. Step 6: Final answer
    x = 648,847.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.