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Finding the Fourth Proportional to 507,662.40, 700,574.06 and 281,307.90

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Solution

The fourth proportional to 507,662.40, 700,574.06 and 281,307.90 is: 388,204.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,662.40 : 700,574.06 = 281,307.90 : x
  2. Step 2: Convert to fraction form
    507,662.40/700,574.06 = 281,307.90/x
  3. Step 3: Cross multiply
    507,662.40x = 700,574.06 × 281,307.90
  4. Step 4: Simplify right side
    507,662.40x = 197,077,017,613.07
  5. Step 5: Solve for x
    x = 197,077,017,613.07/507,662.40
  6. Step 6: Final answer
    x = 388,204.87

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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.