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Finding the Fourth Proportional to 417,525.90, 626,281.52 and 289,323.96

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Solution

The fourth proportional to 417,525.90, 626,281.52 and 289,323.96 is: 433,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,525.90 : 626,281.52 = 289,323.96 : x
  2. Step 2: Convert to fraction form
    417,525.90/626,281.52 = 289,323.96/x
  3. Step 3: Cross multiply
    417,525.90x = 626,281.52 × 289,323.96
  4. Step 4: Simplify right side
    417,525.90x = 181,198,249,441.22
  5. Step 5: Solve for x
    x = 181,198,249,441.22/417,525.90
  6. Step 6: Final answer
    x = 433,980.86

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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.