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Finding the Fourth Proportional to 507,871.97, 700,913.46 and 290,113.23

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Solution

The fourth proportional to 507,871.97, 700,913.46 and 290,113.23 is: 400,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,871.97 : 700,913.46 = 290,113.23 : x
  2. Step 2: Convert to fraction form
    507,871.97/700,913.46 = 290,113.23/x
  3. Step 3: Cross multiply
    507,871.97x = 700,913.46 × 290,113.23
  4. Step 4: Simplify right side
    507,871.97x = 203,344,267,831.08
  5. Step 5: Solve for x
    x = 203,344,267,831.08/507,871.97
  6. Step 6: Final answer
    x = 400,384.90

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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.