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Finding the Fourth Proportional to 501,584.85, 692,187.05 and 286,729.72

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Solution

The fourth proportional to 501,584.85, 692,187.05 and 286,729.72 is: 395,686.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,584.85 : 692,187.05 = 286,729.72 : x
  2. Step 2: Convert to fraction form
    501,584.85/692,187.05 = 286,729.72/x
  3. Step 3: Cross multiply
    501,584.85x = 692,187.05 × 286,729.72
  4. Step 4: Simplify right side
    501,584.85x = 198,470,598,020.48
  5. Step 5: Solve for x
    x = 198,470,598,020.48/501,584.85
  6. Step 6: Final answer
    x = 395,686.99

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1.5x scale

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.