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Finding the Fourth Proportional to 286,314.27, 429,294.93 and 96,756.76

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Solution

The fourth proportional to 286,314.27, 429,294.93 and 96,756.76 is: 145,075.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,314.27 : 429,294.93 = 96,756.76 : x
  2. Step 2: Convert to fraction form
    286,314.27/429,294.93 = 96,756.76/x
  3. Step 3: Cross multiply
    286,314.27x = 429,294.93 × 96,756.76
  4. Step 4: Simplify right side
    286,314.27x = 41,537,186,511.23
  5. Step 5: Solve for x
    x = 41,537,186,511.23/286,314.27
  6. Step 6: Final answer
    x = 145,075.50

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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.