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Finding the Fourth Proportional to 286,369.08, 429,147.38 and 210,897.32

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Solution

The fourth proportional to 286,369.08, 429,147.38 and 210,897.32 is: 316,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,369.08 : 429,147.38 = 210,897.32 : x
  2. Step 2: Convert to fraction form
    286,369.08/429,147.38 = 210,897.32/x
  3. Step 3: Cross multiply
    286,369.08x = 429,147.38 × 210,897.32
  4. Step 4: Simplify right side
    286,369.08x = 90,506,032,327.02
  5. Step 5: Solve for x
    x = 90,506,032,327.02/286,369.08
  6. Step 6: Final answer
    x = 316,046.80

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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.