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Finding the Fourth Proportional to 288,064, 432,094.72 and 77,722.88

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Solution

The fourth proportional to 288,064, 432,094.72 and 77,722.88 is: 116,583.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,064 : 432,094.72 = 77,722.88 : x
  2. Step 2: Convert to fraction form
    288,064/432,094.72 = 77,722.88/x
  3. Step 3: Cross multiply
    288,064x = 432,094.72 × 77,722.88
  4. Step 4: Simplify right side
    288,064x = 33,583,646,071.19
  5. Step 5: Solve for x
    x = 33,583,646,071.19/288,064
  6. Step 6: Final answer
    x = 116,583.97

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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.