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Finding the Fourth Proportional to 559,977.84, 839,970 and 139,253.76

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Solution

The fourth proportional to 559,977.84, 839,970 and 139,253.76 is: 208,881.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,977.84 : 839,970 = 139,253.76 : x
  2. Step 2: Convert to fraction form
    559,977.84/839,970 = 139,253.76/x
  3. Step 3: Cross multiply
    559,977.84x = 839,970 × 139,253.76
  4. Step 4: Simplify right side
    559,977.84x = 116,968,980,787.20
  5. Step 5: Solve for x
    x = 116,968,980,787.20/559,977.84
  6. Step 6: Final answer
    x = 208,881.45

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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.