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Finding the Fourth Proportional to 530,533.40, 730,740.94 and 407,790.75

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Solution

The fourth proportional to 530,533.40, 730,740.94 and 407,790.75 is: 561,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,533.40 : 730,740.94 = 407,790.75 : x
  2. Step 2: Convert to fraction form
    530,533.40/730,740.94 = 407,790.75/x
  3. Step 3: Cross multiply
    530,533.40x = 730,740.94 × 407,790.75
  4. Step 4: Simplify right side
    530,533.40x = 297,989,399,992.93
  5. Step 5: Solve for x
    x = 297,989,399,992.93/530,533.40
  6. Step 6: Final answer
    x = 561,678.87

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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.