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Finding the Fourth Proportional to 288,065.30, 432,105.84 and 77,702.63

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Solution

The fourth proportional to 288,065.30, 432,105.84 and 77,702.63 is: 116,556.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,065.30 : 432,105.84 = 77,702.63 : x
  2. Step 2: Convert to fraction form
    288,065.30/432,105.84 = 77,702.63/x
  3. Step 3: Cross multiply
    288,065.30x = 432,105.84 × 77,702.63
  4. Step 4: Simplify right side
    288,065.30x = 33,575,758,045.83
  5. Step 5: Solve for x
    x = 33,575,758,045.83/288,065.30
  6. Step 6: Final answer
    x = 116,556.07

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1.5x scale

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.