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Finding the Fourth Proportional to 283,744.61, 391,564.98 and 156,420.20

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Solution

The fourth proportional to 283,744.61, 391,564.98 and 156,420.20 is: 215,858.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,744.61 : 391,564.98 = 156,420.20 : x
  2. Step 2: Convert to fraction form
    283,744.61/391,564.98 = 156,420.20/x
  3. Step 3: Cross multiply
    283,744.61x = 391,564.98 × 156,420.20
  4. Step 4: Simplify right side
    283,744.61x = 61,248,670,526.77
  5. Step 5: Solve for x
    x = 61,248,670,526.77/283,744.61
  6. Step 6: Final answer
    x = 215,858.45

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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.