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Finding the Fourth Proportional to 552,047.70, 761,829.02 and 310,328.16

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Solution

The fourth proportional to 552,047.70, 761,829.02 and 310,328.16 is: 428,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,047.70 : 761,829.02 = 310,328.16 : x
  2. Step 2: Convert to fraction form
    552,047.70/761,829.02 = 310,328.16/x
  3. Step 3: Cross multiply
    552,047.70x = 761,829.02 × 310,328.16
  4. Step 4: Simplify right side
    552,047.70x = 236,416,998,011.20
  5. Step 5: Solve for x
    x = 236,416,998,011.20/552,047.70
  6. Step 6: Final answer
    x = 428,254.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.