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Finding the Fourth Proportional to 474,985.81, 712,507.88 and 208,871.65

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Solution

The fourth proportional to 474,985.81, 712,507.88 and 208,871.65 is: 313,320.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,985.81 : 712,507.88 = 208,871.65 : x
  2. Step 2: Convert to fraction form
    474,985.81/712,507.88 = 208,871.65/x
  3. Step 3: Cross multiply
    474,985.81x = 712,507.88 × 208,871.65
  4. Step 4: Simplify right side
    474,985.81x = 148,822,696,533.60
  5. Step 5: Solve for x
    x = 148,822,696,533.60/474,985.81
  6. Step 6: Final answer
    x = 313,320.30

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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.