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Finding the Fourth Proportional to 288,308.10, 432,461.13 and 77,946

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Solution

The fourth proportional to 288,308.10, 432,461.13 and 77,946 is: 116,918.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,308.10 : 432,461.13 = 77,946 : x
  2. Step 2: Convert to fraction form
    288,308.10/432,461.13 = 77,946/x
  3. Step 3: Cross multiply
    288,308.10x = 432,461.13 × 77,946
  4. Step 4: Simplify right side
    288,308.10x = 33,708,615,238.98
  5. Step 5: Solve for x
    x = 33,708,615,238.98/288,308.10
  6. Step 6: Final answer
    x = 116,918.72

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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.