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Finding the Fourth Proportional to 343,179, 473,587.02 and 209,043

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Solution

The fourth proportional to 343,179, 473,587.02 and 209,043 is: 288,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,179 : 473,587.02 = 209,043 : x
  2. Step 2: Convert to fraction form
    343,179/473,587.02 = 209,043/x
  3. Step 3: Cross multiply
    343,179x = 473,587.02 × 209,043
  4. Step 4: Simplify right side
    343,179x = 99,000,051,421.86
  5. Step 5: Solve for x
    x = 99,000,051,421.86/343,179
  6. Step 6: Final answer
    x = 288,479.34

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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.