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Finding the Fourth Proportional to 553,802.94, 830,692.46 and 154,433.08

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Solution

The fourth proportional to 553,802.94, 830,692.46 and 154,433.08 is: 231,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,802.94 : 830,692.46 = 154,433.08 : x
  2. Step 2: Convert to fraction form
    553,802.94/830,692.46 = 154,433.08/x
  3. Step 3: Cross multiply
    553,802.94x = 830,692.46 × 154,433.08
  4. Step 4: Simplify right side
    553,802.94x = 128,286,395,130.58
  5. Step 5: Solve for x
    x = 128,286,395,130.58/553,802.94
  6. Step 6: Final answer
    x = 231,646.29

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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.