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Finding the Fourth Proportional to 553,438.63, 830,075.32 and 154,037.76

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Solution

The fourth proportional to 553,438.63, 830,075.32 and 154,037.76 is: 231,033.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,438.63 : 830,075.32 = 154,037.76 : x
  2. Step 2: Convert to fraction form
    553,438.63/830,075.32 = 154,037.76/x
  3. Step 3: Cross multiply
    553,438.63x = 830,075.32 × 154,037.76
  4. Step 4: Simplify right side
    553,438.63x = 127,862,942,924.08
  5. Step 5: Solve for x
    x = 127,862,942,924.08/553,438.63
  6. Step 6: Final answer
    x = 231,033.64

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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.