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Finding the Fourth Proportional to 485,322.24, 728,041.68 and 458,780.16

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Solution

The fourth proportional to 485,322.24, 728,041.68 and 458,780.16 is: 688,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,322.24 : 728,041.68 = 458,780.16 : x
  2. Step 2: Convert to fraction form
    485,322.24/728,041.68 = 458,780.16/x
  3. Step 3: Cross multiply
    485,322.24x = 728,041.68 × 458,780.16
  4. Step 4: Simplify right side
    485,322.24x = 334,011,078,437.07
  5. Step 5: Solve for x
    x = 334,011,078,437.07/485,322.24
  6. Step 6: Final answer
    x = 688,225.37

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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.