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Finding the Fourth Proportional to 528,770.50, 729,704.20 and 302,416

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Solution

The fourth proportional to 528,770.50, 729,704.20 and 302,416 is: 417,334.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,770.50 : 729,704.20 = 302,416 : x
  2. Step 2: Convert to fraction form
    528,770.50/729,704.20 = 302,416/x
  3. Step 3: Cross multiply
    528,770.50x = 729,704.20 × 302,416
  4. Step 4: Simplify right side
    528,770.50x = 220,674,225,347.20
  5. Step 5: Solve for x
    x = 220,674,225,347.20/528,770.50
  6. Step 6: Final answer
    x = 417,334.60

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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.