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Finding the Fourth Proportional to 656,438.51, 984,762.84 and 277,362.91

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Solution

The fourth proportional to 656,438.51, 984,762.84 and 277,362.91 is: 416,088.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,438.51 : 984,762.84 = 277,362.91 : x
  2. Step 2: Convert to fraction form
    656,438.51/984,762.84 = 277,362.91/x
  3. Step 3: Cross multiply
    656,438.51x = 984,762.84 × 277,362.91
  4. Step 4: Simplify right side
    656,438.51x = 273,136,686,962.26
  5. Step 5: Solve for x
    x = 273,136,686,962.26/656,438.51
  6. Step 6: Final answer
    x = 416,088.76

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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.