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Finding the Fourth Proportional to 501,415.24, 692,000.34 and 286,513.66

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Solution

The fourth proportional to 501,415.24, 692,000.34 and 286,513.66 is: 395,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,415.24 : 692,000.34 = 286,513.66 : x
  2. Step 2: Convert to fraction form
    501,415.24/692,000.34 = 286,513.66/x
  3. Step 3: Cross multiply
    501,415.24x = 692,000.34 × 286,513.66
  4. Step 4: Simplify right side
    501,415.24x = 198,267,550,134.64
  5. Step 5: Solve for x
    x = 198,267,550,134.64/501,415.24
  6. Step 6: Final answer
    x = 395,415.88

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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.