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Finding the Fourth Proportional to 343,643.60, 514,590.60 and 327,897.20

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Solution

The fourth proportional to 343,643.60, 514,590.60 and 327,897.20 is: 491,011.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,643.60 : 514,590.60 = 327,897.20 : x
  2. Step 2: Convert to fraction form
    343,643.60/514,590.60 = 327,897.20/x
  3. Step 3: Cross multiply
    343,643.60x = 514,590.60 × 327,897.20
  4. Step 4: Simplify right side
    343,643.60x = 168,732,816,886.32
  5. Step 5: Solve for x
    x = 168,732,816,886.32/343,643.60
  6. Step 6: Final answer
    x = 491,011.08

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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.