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Finding the Fourth Proportional to 410,075.14, 615,041.78 and 185,383.32

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Solution

The fourth proportional to 410,075.14, 615,041.78 and 185,383.32 is: 278,042.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,075.14 : 615,041.78 = 185,383.32 : x
  2. Step 2: Convert to fraction form
    410,075.14/615,041.78 = 185,383.32/x
  3. Step 3: Cross multiply
    410,075.14x = 615,041.78 × 185,383.32
  4. Step 4: Simplify right side
    410,075.14x = 114,018,484,039.90
  5. Step 5: Solve for x
    x = 114,018,484,039.90/410,075.14
  6. Step 6: Final answer
    x = 278,042.91

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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.