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Finding the Fourth Proportional to 495,728.80, 742,772.40 and 284,999.20

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Solution

The fourth proportional to 495,728.80, 742,772.40 and 284,999.20 is: 427,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    495,728.80 : 742,772.40 = 284,999.20 : x
  2. Step 2: Convert to fraction form
    495,728.80/742,772.40 = 284,999.20/x
  3. Step 3: Cross multiply
    495,728.80x = 742,772.40 × 284,999.20
  4. Step 4: Simplify right side
    495,728.80x = 211,689,539,782.08
  5. Step 5: Solve for x
    x = 211,689,539,782.08/495,728.80
  6. Step 6: Final answer
    x = 427,026.91

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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.