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Finding the Fourth Proportional to 288,307.10, 432,459.63 and 77,945

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Solution

The fourth proportional to 288,307.10, 432,459.63 and 77,945 is: 116,917.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,307.10 : 432,459.63 = 77,945 : x
  2. Step 2: Convert to fraction form
    288,307.10/432,459.63 = 77,945/x
  3. Step 3: Cross multiply
    288,307.10x = 432,459.63 × 77,945
  4. Step 4: Simplify right side
    288,307.10x = 33,708,065,860.35
  5. Step 5: Solve for x
    x = 33,708,065,860.35/288,307.10
  6. Step 6: Final answer
    x = 116,917.22

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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.