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Finding the Fourth Proportional to 473,355.36, 653,254.88 and 289,536.30

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Solution

The fourth proportional to 473,355.36, 653,254.88 and 289,536.30 is: 399,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,355.36 : 653,254.88 = 289,536.30 : x
  2. Step 2: Convert to fraction form
    473,355.36/653,254.88 = 289,536.30/x
  3. Step 3: Cross multiply
    473,355.36x = 653,254.88 × 289,536.30
  4. Step 4: Simplify right side
    473,355.36x = 189,140,999,464.46
  5. Step 5: Solve for x
    x = 189,140,999,464.46/473,355.36
  6. Step 6: Final answer
    x = 399,575.07

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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.