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Finding the Fourth Proportional to 542,206, 812,980.80 and 242,630.68

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Solution

The fourth proportional to 542,206, 812,980.80 and 242,630.68 is: 363,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,206 : 812,980.80 = 242,630.68 : x
  2. Step 2: Convert to fraction form
    542,206/812,980.80 = 242,630.68/x
  3. Step 3: Cross multiply
    542,206x = 812,980.80 × 242,630.68
  4. Step 4: Simplify right side
    542,206x = 197,254,084,330.94
  5. Step 5: Solve for x
    x = 197,254,084,330.94/542,206
  6. Step 6: Final answer
    x = 363,799.15

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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.