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Finding the Fourth Proportional to 940,248, 1,297,542.24 and 537,840

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Solution

The fourth proportional to 940,248, 1,297,542.24 and 537,840 is: 742,219.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,248 : 1,297,542.24 = 537,840 : x
  2. Step 2: Convert to fraction form
    940,248/1,297,542.24 = 537,840/x
  3. Step 3: Cross multiply
    940,248x = 1,297,542.24 × 537,840
  4. Step 4: Simplify right side
    940,248x = 697,870,118,361.60
  5. Step 5: Solve for x
    x = 697,870,118,361.60/940,248
  6. Step 6: Final answer
    x = 742,219.20

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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.