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Finding the Fourth Proportional to 553,646.70, 830,174.76 and 286,745.22

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Solution

The fourth proportional to 553,646.70, 830,174.76 and 286,745.22 is: 429,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,646.70 : 830,174.76 = 286,745.22 : x
  2. Step 2: Convert to fraction form
    553,646.70/830,174.76 = 286,745.22/x
  3. Step 3: Cross multiply
    553,646.70x = 830,174.76 × 286,745.22
  4. Step 4: Simplify right side
    553,646.70x = 238,048,644,194.65
  5. Step 5: Solve for x
    x = 238,048,644,194.65/553,646.70
  6. Step 6: Final answer
    x = 429,964.89

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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.