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Finding the Fourth Proportional to 286,678.78, 429,852 and 97,075.86

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Solution

The fourth proportional to 286,678.78, 429,852 and 97,075.86 is: 145,557.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,678.78 : 429,852 = 97,075.86 : x
  2. Step 2: Convert to fraction form
    286,678.78/429,852 = 97,075.86/x
  3. Step 3: Cross multiply
    286,678.78x = 429,852 × 97,075.86
  4. Step 4: Simplify right side
    286,678.78x = 41,728,252,572.72
  5. Step 5: Solve for x
    x = 41,728,252,572.72/286,678.78
  6. Step 6: Final answer
    x = 145,557.52

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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.