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Finding the Fourth Proportional to 516,692.02, 713,031.78 and 290,337.52

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Solution

The fourth proportional to 516,692.02, 713,031.78 and 290,337.52 is: 400,663.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,692.02 : 713,031.78 = 290,337.52 : x
  2. Step 2: Convert to fraction form
    516,692.02/713,031.78 = 290,337.52/x
  3. Step 3: Cross multiply
    516,692.02x = 713,031.78 × 290,337.52
  4. Step 4: Simplify right side
    516,692.02x = 207,019,878,686.39
  5. Step 5: Solve for x
    x = 207,019,878,686.39/516,692.02
  6. Step 6: Final answer
    x = 400,663.98

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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.