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Finding the Fourth Proportional to 286,595.90, 429,897.45 and 86,918.30

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Solution

The fourth proportional to 286,595.90, 429,897.45 and 86,918.30 is: 130,378.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,595.90 : 429,897.45 = 86,918.30 : x
  2. Step 2: Convert to fraction form
    286,595.90/429,897.45 = 86,918.30/x
  3. Step 3: Cross multiply
    286,595.90x = 429,897.45 × 86,918.30
  4. Step 4: Simplify right side
    286,595.90x = 37,365,955,528.34
  5. Step 5: Solve for x
    x = 37,365,955,528.34/286,595.90
  6. Step 6: Final answer
    x = 130,378.54

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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.