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Finding the Fourth Proportional to 290,586.16, 435,878.60 and 77,354.12

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Solution

The fourth proportional to 290,586.16, 435,878.60 and 77,354.12 is: 116,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,586.16 : 435,878.60 = 77,354.12 : x
  2. Step 2: Convert to fraction form
    290,586.16/435,878.60 = 77,354.12/x
  3. Step 3: Cross multiply
    290,586.16x = 435,878.60 × 77,354.12
  4. Step 4: Simplify right side
    290,586.16x = 33,717,005,529.83
  5. Step 5: Solve for x
    x = 33,717,005,529.83/290,586.16
  6. Step 6: Final answer
    x = 116,031.01

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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.