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Finding the Fourth Proportional to 530,491.76, 730,684.06 and 407,749.40

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Solution

The fourth proportional to 530,491.76, 730,684.06 and 407,749.40 is: 561,622.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,491.76 : 730,684.06 = 407,749.40 : x
  2. Step 2: Convert to fraction form
    530,491.76/730,684.06 = 407,749.40/x
  3. Step 3: Cross multiply
    530,491.76x = 730,684.06 × 407,749.40
  4. Step 4: Simplify right side
    530,491.76x = 297,935,987,054.56
  5. Step 5: Solve for x
    x = 297,935,987,054.56/530,491.76
  6. Step 6: Final answer
    x = 561,622.27

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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.