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Finding the Fourth Proportional to 288,308.35, 432,461.50 and 77,946.25

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Solution

The fourth proportional to 288,308.35, 432,461.50 and 77,946.25 is: 116,919.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,308.35 : 432,461.50 = 77,946.25 : x
  2. Step 2: Convert to fraction form
    288,308.35/432,461.50 = 77,946.25/x
  3. Step 3: Cross multiply
    288,308.35x = 432,461.50 × 77,946.25
  4. Step 4: Simplify right side
    288,308.35x = 33,708,752,194.38
  5. Step 5: Solve for x
    x = 33,708,752,194.38/288,308.35
  6. Step 6: Final answer
    x = 116,919.10

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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.