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Finding the Fourth Proportional to 402,075.64, 601,606.02 and 239,374.58

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Solution

The fourth proportional to 402,075.64, 601,606.02 and 239,374.58 is: 358,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,075.64 : 601,606.02 = 239,374.58 : x
  2. Step 2: Convert to fraction form
    402,075.64/601,606.02 = 239,374.58/x
  3. Step 3: Cross multiply
    402,075.64x = 601,606.02 × 239,374.58
  4. Step 4: Simplify right side
    402,075.64x = 144,009,188,362.97
  5. Step 5: Solve for x
    x = 144,009,188,362.97/402,075.64
  6. Step 6: Final answer
    x = 358,164.42

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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.