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Finding the Fourth Proportional to 553,494.42, 830,263.50 and 154,170.09

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Solution

The fourth proportional to 553,494.42, 830,263.50 and 154,170.09 is: 231,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,494.42 : 830,263.50 = 154,170.09 : x
  2. Step 2: Convert to fraction form
    553,494.42/830,263.50 = 154,170.09/x
  3. Step 3: Cross multiply
    553,494.42x = 830,263.50 × 154,170.09
  4. Step 4: Simplify right side
    553,494.42x = 128,001,798,518.72
  5. Step 5: Solve for x
    x = 128,001,798,518.72/553,494.42
  6. Step 6: Final answer
    x = 231,261.23

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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.