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Finding the Fourth Proportional to 415,901.20, 623,851.80 and 389,657.20

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Solution

The fourth proportional to 415,901.20, 623,851.80 and 389,657.20 is: 584,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,901.20 : 623,851.80 = 389,657.20 : x
  2. Step 2: Convert to fraction form
    415,901.20/623,851.80 = 389,657.20/x
  3. Step 3: Cross multiply
    415,901.20x = 623,851.80 × 389,657.20
  4. Step 4: Simplify right side
    415,901.20x = 243,088,345,602.96
  5. Step 5: Solve for x
    x = 243,088,345,602.96/415,901.20
  6. Step 6: Final answer
    x = 584,485.80

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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.