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Finding the Fourth Proportional to 507,701.78, 700,628.40 and 281,347.28

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Solution

The fourth proportional to 507,701.78, 700,628.40 and 281,347.28 is: 388,259.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,701.78 : 700,628.40 = 281,347.28 : x
  2. Step 2: Convert to fraction form
    507,701.78/700,628.40 = 281,347.28/x
  3. Step 3: Cross multiply
    507,701.78x = 700,628.40 × 281,347.28
  4. Step 4: Simplify right side
    507,701.78x = 197,119,894,630.75
  5. Step 5: Solve for x
    x = 197,119,894,630.75/507,701.78
  6. Step 6: Final answer
    x = 388,259.22

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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.