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Finding the Fourth Proportional to 257,048.52, 385,590.80 and 79,532.16

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Solution

The fourth proportional to 257,048.52, 385,590.80 and 79,532.16 is: 119,303.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,048.52 : 385,590.80 = 79,532.16 : x
  2. Step 2: Convert to fraction form
    257,048.52/385,590.80 = 79,532.16/x
  3. Step 3: Cross multiply
    257,048.52x = 385,590.80 × 79,532.16
  4. Step 4: Simplify right side
    257,048.52x = 30,666,869,200.13
  5. Step 5: Solve for x
    x = 30,666,869,200.13/257,048.52
  6. Step 6: Final answer
    x = 119,303.82

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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.